Finding the Third Proportional to 16,382,385,312,992 and 35,648,730,377,461

Step by Step Solution

1. Step 1: Write the proportion equation
   16,382,385,312,992 : 35,648,730,377,461 = 35,648,730,377,461 : x
2. Step 2: Convert to fraction form
   16,382,385,312,992/35,648,730,377,461 = 35,648,730,377,461/x
3. Step 3: Cross multiply
   16,382,385,312,992x = 35,648,730,377,461 × 35,648,730,377,461
4. Step 4: Simplify right side
   16,382,385,312,992x = 1,270,831,977,524,910,646,978,674,688
5. Step 5: Solve for x
   x = 1,270,831,977,524,910,646,978,674,688/16,382,385,312,992
6. Step 6: Final answer
   x = 77,573,073,349,525.08