Finding the Third Proportional to 37,386 and 55,755

Step by Step Solution

1. Step 1: Write the proportion equation
   37,386 : 55,755 = 55,755 : x
2. Step 2: Convert to fraction form
   37,386/55,755 = 55,755/x
3. Step 3: Cross multiply
   37,386x = 55,755 × 55,755
4. Step 4: Simplify right side
   37,386x = 3,108,620,025
5. Step 5: Solve for x
   x = 3,108,620,025/37,386
6. Step 6: Final answer
   x = 83,149.31