Finding the Third Proportional to 38,614 and 57,581

Step by Step Solution

1. Step 1: Write the proportion equation
   38,614 : 57,581 = 57,581 : x
2. Step 2: Convert to fraction form
   38,614/57,581 = 57,581/x
3. Step 3: Cross multiply
   38,614x = 57,581 × 57,581
4. Step 4: Simplify right side
   38,614x = 3,315,571,561
5. Step 5: Solve for x
   x = 3,315,571,561/38,614
6. Step 6: Final answer
   x = 85,864.49