Finding the Third Proportional to 37,415 and 57,506

Step by Step Solution

1. Step 1: Write the proportion equation
   37,415 : 57,506 = 57,506 : x
2. Step 2: Convert to fraction form
   37,415/57,506 = 57,506/x
3. Step 3: Cross multiply
   37,415x = 57,506 × 57,506
4. Step 4: Simplify right side
   37,415x = 3,306,940,036
5. Step 5: Solve for x
   x = 3,306,940,036/37,415
6. Step 6: Final answer
   x = 88,385.41