Finding the Third Proportional to 37,386 and 55,542

Step by Step Solution

1. Step 1: Write the proportion equation
   37,386 : 55,542 = 55,542 : x
2. Step 2: Convert to fraction form
   37,386/55,542 = 55,542/x
3. Step 3: Cross multiply
   37,386x = 55,542 × 55,542
4. Step 4: Simplify right side
   37,386x = 3,084,913,764
5. Step 5: Solve for x
   x = 3,084,913,764/37,386
6. Step 6: Final answer
   x = 82,515.21