Finding the Third Proportional to 37,410 and 57,498

Step by Step Solution

1. Step 1: Write the proportion equation
   37,410 : 57,498 = 57,498 : x
2. Step 2: Convert to fraction form
   37,410/57,498 = 57,498/x
3. Step 3: Cross multiply
   37,410x = 57,498 × 57,498
4. Step 4: Simplify right side
   37,410x = 3,306,020,004
5. Step 5: Solve for x
   x = 3,306,020,004/37,410
6. Step 6: Final answer
   x = 88,372.63