Finding the Third Proportional to 38,315 and 57,524

Step by Step Solution

1. Step 1: Write the proportion equation
   38,315 : 57,524 = 57,524 : x
2. Step 2: Convert to fraction form
   38,315/57,524 = 57,524/x
3. Step 3: Cross multiply
   38,315x = 57,524 × 57,524
4. Step 4: Simplify right side
   38,315x = 3,309,010,576
5. Step 5: Solve for x
   x = 3,309,010,576/38,315
6. Step 6: Final answer
   x = 86,363.32