Finding the Third Proportional to 37,866 and 55,419

Step by Step Solution

1. Step 1: Write the proportion equation
   37,866 : 55,419 = 55,419 : x
2. Step 2: Convert to fraction form
   37,866/55,419 = 55,419/x
3. Step 3: Cross multiply
   37,866x = 55,419 × 55,419
4. Step 4: Simplify right side
   37,866x = 3,071,265,561
5. Step 5: Solve for x
   x = 3,071,265,561/37,866
6. Step 6: Final answer
   x = 81,108.79