Finding the Third Proportional to 41,138 and 55,746

Step by Step Solution

1. Step 1: Write the proportion equation
   41,138 : 55,746 = 55,746 : x
2. Step 2: Convert to fraction form
   41,138/55,746 = 55,746/x
3. Step 3: Cross multiply
   41,138x = 55,746 × 55,746
4. Step 4: Simplify right side
   41,138x = 3,107,616,516
5. Step 5: Solve for x
   x = 3,107,616,516/41,138
6. Step 6: Final answer
   x = 75,541.26