Finding the Third Proportional to 31,752.75 and 69,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,752.75 : 69,772.50 = 69,772.50 : x
2. Step 2: Convert to fraction form
   31,752.75/69,772.50 = 69,772.50/x
3. Step 3: Cross multiply
   31,752.75x = 69,772.50 × 69,772.50
4. Step 4: Simplify right side
   31,752.75x = 4,868,201,756.25
5. Step 5: Solve for x
   x = 4,868,201,756.25/31,752.75
6. Step 6: Final answer
   x = 153,315.91