Finding the Third Proportional to 16,382,385,312,992 and 35,648,730,377,460

Step by Step Solution

1. Step 1: Write the proportion equation
   16,382,385,312,992 : 35,648,730,377,460 = 35,648,730,377,460 : x
2. Step 2: Convert to fraction form
   16,382,385,312,992/35,648,730,377,460 = 35,648,730,377,460/x
3. Step 3: Cross multiply
   16,382,385,312,992x = 35,648,730,377,460 × 35,648,730,377,460
4. Step 4: Simplify right side
   16,382,385,312,992x = 1,270,831,977,524,839,453,600,776,192
5. Step 5: Solve for x
   x = 1,270,831,977,524,839,453,600,776,192/16,382,385,312,992
6. Step 6: Final answer
   x = 77,573,073,349,520.72