Finding the Third Proportional to 37,128 and 57,518

Step by Step Solution

1. Step 1: Write the proportion equation
   37,128 : 57,518 = 57,518 : x
2. Step 2: Convert to fraction form
   37,128/57,518 = 57,518/x
3. Step 3: Cross multiply
   37,128x = 57,518 × 57,518
4. Step 4: Simplify right side
   37,128x = 3,308,320,324
5. Step 5: Solve for x
   x = 3,308,320,324/37,128
6. Step 6: Final answer
   x = 89,105.80