Finding the Third Proportional to 37,755 and 55,538

Step by Step Solution

1. Step 1: Write the proportion equation
   37,755 : 55,538 = 55,538 : x
2. Step 2: Convert to fraction form
   37,755/55,538 = 55,538/x
3. Step 3: Cross multiply
   37,755x = 55,538 × 55,538
4. Step 4: Simplify right side
   37,755x = 3,084,469,444
5. Step 5: Solve for x
   x = 3,084,469,444/37,755
6. Step 6: Final answer
   x = 81,696.98