Finding the Third Proportional to 37,380 and 55,746

Step by Step Solution

1. Step 1: Write the proportion equation
   37,380 : 55,746 = 55,746 : x
2. Step 2: Convert to fraction form
   37,380/55,746 = 55,746/x
3. Step 3: Cross multiply
   37,380x = 55,746 × 55,746
4. Step 4: Simplify right side
   37,380x = 3,107,616,516
5. Step 5: Solve for x
   x = 3,107,616,516/37,380
6. Step 6: Final answer
   x = 83,135.81