Finding the Third Proportional to 39,938 and 57,746

Step by Step Solution

1. Step 1: Write the proportion equation
   39,938 : 57,746 = 57,746 : x
2. Step 2: Convert to fraction form
   39,938/57,746 = 57,746/x
3. Step 3: Cross multiply
   39,938x = 57,746 × 57,746
4. Step 4: Simplify right side
   39,938x = 3,334,600,516
5. Step 5: Solve for x
   x = 3,334,600,516/39,938
6. Step 6: Final answer
   x = 83,494.43