Finding the Third Proportional to 37,440 and 57,726

Step by Step Solution

1. Step 1: Write the proportion equation
   37,440 : 57,726 = 57,726 : x
2. Step 2: Convert to fraction form
   37,440/57,726 = 57,726/x
3. Step 3: Cross multiply
   37,440x = 57,726 × 57,726
4. Step 4: Simplify right side
   37,440x = 3,332,291,076
5. Step 5: Solve for x
   x = 3,332,291,076/37,440
6. Step 6: Final answer
   x = 89,003.50