Finding the Third Proportional to 37,134 and 57,564

Step by Step Solution

1. Step 1: Write the proportion equation
   37,134 : 57,564 = 57,564 : x
2. Step 2: Convert to fraction form
   37,134/57,564 = 57,564/x
3. Step 3: Cross multiply
   37,134x = 57,564 × 57,564
4. Step 4: Simplify right side
   37,134x = 3,313,614,096
5. Step 5: Solve for x
   x = 3,313,614,096/37,134
6. Step 6: Final answer
   x = 89,233.97