Finding the Third Proportional to 37,400 and 57,502

Step by Step Solution

1. Step 1: Write the proportion equation
   37,400 : 57,502 = 57,502 : x
2. Step 2: Convert to fraction form
   37,400/57,502 = 57,502/x
3. Step 3: Cross multiply
   37,400x = 57,502 × 57,502
4. Step 4: Simplify right side
   37,400x = 3,306,480,004
5. Step 5: Solve for x
   x = 3,306,480,004/37,400
6. Step 6: Final answer
   x = 88,408.56