Finding the Third Proportional to 57,624 and 89,436

Step by Step Solution

1. Step 1: Write the proportion equation
   57,624 : 89,436 = 89,436 : x
2. Step 2: Convert to fraction form
   57,624/89,436 = 89,436/x
3. Step 3: Cross multiply
   57,624x = 89,436 × 89,436
4. Step 4: Simplify right side
   57,624x = 7,998,798,096
5. Step 5: Solve for x
   x = 7,998,798,096/57,624
6. Step 6: Final answer
   x = 138,810.18