Finding the Third Proportional to 31,838 and 69,382

Step by Step Solution

1. Step 1: Write the proportion equation
   31,838 : 69,382 = 69,382 : x
2. Step 2: Convert to fraction form
   31,838/69,382 = 69,382/x
3. Step 3: Cross multiply
   31,838x = 69,382 × 69,382
4. Step 4: Simplify right side
   31,838x = 4,813,861,924
5. Step 5: Solve for x
   x = 4,813,861,924/31,838
6. Step 6: Final answer
   x = 151,198.63