Finding the Third Proportional to 30,242.25 and 65,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,242.25 : 65,677.50 = 65,677.50 : x
2. Step 2: Convert to fraction form
   30,242.25/65,677.50 = 65,677.50/x
3. Step 3: Cross multiply
   30,242.25x = 65,677.50 × 65,677.50
4. Step 4: Simplify right side
   30,242.25x = 4,313,534,006.25
5. Step 5: Solve for x
   x = 4,313,534,006.25/30,242.25
6. Step 6: Final answer
   x = 142,632.71