Finding the Third Proportional to 31,586 and 67,548

Step by Step Solution

1. Step 1: Write the proportion equation
   31,586 : 67,548 = 67,548 : x
2. Step 2: Convert to fraction form
   31,586/67,548 = 67,548/x
3. Step 3: Cross multiply
   31,586x = 67,548 × 67,548
4. Step 4: Simplify right side
   31,586x = 4,562,732,304
5. Step 5: Solve for x
   x = 4,562,732,304/31,586
6. Step 6: Final answer
   x = 144,454.26