Finding the Third Proportional to 31,562 and 68,020

Step by Step Solution

1. Step 1: Write the proportion equation
   31,562 : 68,020 = 68,020 : x
2. Step 2: Convert to fraction form
   31,562/68,020 = 68,020/x
3. Step 3: Cross multiply
   31,562x = 68,020 × 68,020
4. Step 4: Simplify right side
   31,562x = 4,626,720,400
5. Step 5: Solve for x
   x = 4,626,720,400/31,562
6. Step 6: Final answer
   x = 146,591.48