Finding the Third Proportional to 16,377,791,310 and 35,365,312,224

Step by Step Solution

1. Step 1: Write the proportion equation
   16,377,791,310 : 35,365,312,224 = 35,365,312,224 : x
2. Step 2: Convert to fraction form
   16,377,791,310/35,365,312,224 = 35,365,312,224/x
3. Step 3: Cross multiply
   16,377,791,310x = 35,365,312,224 × 35,365,312,224
4. Step 4: Simplify right side
   16,377,791,310x = 1,250,705,308,701,003,874,304
5. Step 5: Solve for x
   x = 1,250,705,308,701,003,874,304/16,377,791,310
6. Step 6: Final answer
   x = 76,365,932,684.55