Finding the Third Proportional to 31,985 and 69,792

Step by Step Solution

1. Step 1: Write the proportion equation
   31,985 : 69,792 = 69,792 : x
2. Step 2: Convert to fraction form
   31,985/69,792 = 69,792/x
3. Step 3: Cross multiply
   31,985x = 69,792 × 69,792
4. Step 4: Simplify right side
   31,985x = 4,870,923,264
5. Step 5: Solve for x
   x = 4,870,923,264/31,985
6. Step 6: Final answer
   x = 152,287.74