Finding the Third Proportional to 31,952 and 69,478

Step by Step Solution

1. Step 1: Write the proportion equation
   31,952 : 69,478 = 69,478 : x
2. Step 2: Convert to fraction form
   31,952/69,478 = 69,478/x
3. Step 3: Cross multiply
   31,952x = 69,478 × 69,478
4. Step 4: Simplify right side
   31,952x = 4,827,192,484
5. Step 5: Solve for x
   x = 4,827,192,484/31,952
6. Step 6: Final answer
   x = 151,076.38