Finding the Third Proportional to 32,762.25 and 69,814.13

Step by Step Solution

1. Step 1: Write the proportion equation
   32,762.25 : 69,814.13 = 69,814.13 : x
2. Step 2: Convert to fraction form
   32,762.25/69,814.13 = 69,814.13/x
3. Step 3: Cross multiply
   32,762.25x = 69,814.13 × 69,814.13
4. Step 4: Simplify right side
   32,762.25x = 4,874,012,049.52
5. Step 5: Solve for x
   x = 4,874,012,049.52/32,762.25
6. Step 6: Final answer
   x = 148,769.15