Finding the Third Proportional to 37,377 and 55,530

Step by Step Solution

1. Step 1: Write the proportion equation
   37,377 : 55,530 = 55,530 : x
2. Step 2: Convert to fraction form
   37,377/55,530 = 55,530/x
3. Step 3: Cross multiply
   37,377x = 55,530 × 55,530
4. Step 4: Simplify right side
   37,377x = 3,083,580,900
5. Step 5: Solve for x
   x = 3,083,580,900/37,377
6. Step 6: Final answer
   x = 82,499.42