Finding the Third Proportional to 37,386 and 55,539

Step by Step Solution

1. Step 1: Write the proportion equation
   37,386 : 55,539 = 55,539 : x
2. Step 2: Convert to fraction form
   37,386/55,539 = 55,539/x
3. Step 3: Cross multiply
   37,386x = 55,539 × 55,539
4. Step 4: Simplify right side
   37,386x = 3,084,580,521
5. Step 5: Solve for x
   x = 3,084,580,521/37,386
6. Step 6: Final answer
   x = 82,506.30