Finding the Third Proportional to 35,814.97 and 77,131.62

Step by Step Solution

1. Step 1: Write the proportion equation
   35,814.97 : 77,131.62 = 77,131.62 : x
2. Step 2: Convert to fraction form
   35,814.97/77,131.62 = 77,131.62/x
3. Step 3: Cross multiply
   35,814.97x = 77,131.62 × 77,131.62
4. Step 4: Simplify right side
   35,814.97x = 5,949,286,369.96
5. Step 5: Solve for x
   x = 5,949,286,369.96/35,814.97
6. Step 6: Final answer
   x = 166,111.71