Finding the Third Proportional to 31,582 and 67,541

Step by Step Solution

1. Step 1: Write the proportion equation
   31,582 : 67,541 = 67,541 : x
2. Step 2: Convert to fraction form
   31,582/67,541 = 67,541/x
3. Step 3: Cross multiply
   31,582x = 67,541 × 67,541
4. Step 4: Simplify right side
   31,582x = 4,561,786,681
5. Step 5: Solve for x
   x = 4,561,786,681/31,582
6. Step 6: Final answer
   x = 144,442.62