Finding the Third Proportional to 31,782 and 69,402

Step by Step Solution

1. Step 1: Write the proportion equation
   31,782 : 69,402 = 69,402 : x
2. Step 2: Convert to fraction form
   31,782/69,402 = 69,402/x
3. Step 3: Cross multiply
   31,782x = 69,402 × 69,402
4. Step 4: Simplify right side
   31,782x = 4,816,637,604
5. Step 5: Solve for x
   x = 4,816,637,604/31,782
6. Step 6: Final answer
   x = 151,552.38