Finding the Third Proportional to 38,524 and 57,526

Step by Step Solution

1. Step 1: Write the proportion equation
   38,524 : 57,526 = 57,526 : x
2. Step 2: Convert to fraction form
   38,524/57,526 = 57,526/x
3. Step 3: Cross multiply
   38,524x = 57,526 × 57,526
4. Step 4: Simplify right side
   38,524x = 3,309,240,676
5. Step 5: Solve for x
   x = 3,309,240,676/38,524
6. Step 6: Final answer
   x = 85,900.75