Finding the Third Proportional to 35,687.25 and 76,713.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,687.25 : 76,713.75 = 76,713.75 : x
2. Step 2: Convert to fraction form
   35,687.25/76,713.75 = 76,713.75/x
3. Step 3: Cross multiply
   35,687.25x = 76,713.75 × 76,713.75
4. Step 4: Simplify right side
   35,687.25x = 5,884,999,439.06
5. Step 5: Solve for x
   x = 5,884,999,439.06/35,687.25
6. Step 6: Final answer
   x = 164,904.82