Finding the Third Proportional to 31,952 and 69,448

Step by Step Solution

1. Step 1: Write the proportion equation
   31,952 : 69,448 = 69,448 : x
2. Step 2: Convert to fraction form
   31,952/69,448 = 69,448/x
3. Step 3: Cross multiply
   31,952x = 69,448 × 69,448
4. Step 4: Simplify right side
   31,952x = 4,823,024,704
5. Step 5: Solve for x
   x = 4,823,024,704/31,952
6. Step 6: Final answer
   x = 150,945.94