Finding the Third Proportional to 35,716 and 77,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,716 : 77,781.50 = 77,781.50 : x
2. Step 2: Convert to fraction form
   35,716/77,781.50 = 77,781.50/x
3. Step 3: Cross multiply
   35,716x = 77,781.50 × 77,781.50
4. Step 4: Simplify right side
   35,716x = 6,049,961,742.25
5. Step 5: Solve for x
   x = 6,049,961,742.25/35,716
6. Step 6: Final answer
   x = 169,390.80