Finding the Third Proportional to 37,524 and 57,534

Step by Step Solution

1. Step 1: Write the proportion equation
   37,524 : 57,534 = 57,534 : x
2. Step 2: Convert to fraction form
   37,524/57,534 = 57,534/x
3. Step 3: Cross multiply
   37,524x = 57,534 × 57,534
4. Step 4: Simplify right side
   37,524x = 3,310,161,156
5. Step 5: Solve for x
   x = 3,310,161,156/37,524
6. Step 6: Final answer
   x = 88,214.51