Finding the Third Proportional to 36,442 and 55,419

Step by Step Solution

1. Step 1: Write the proportion equation
   36,442 : 55,419 = 55,419 : x
2. Step 2: Convert to fraction form
   36,442/55,419 = 55,419/x
3. Step 3: Cross multiply
   36,442x = 55,419 × 55,419
4. Step 4: Simplify right side
   36,442x = 3,071,265,561
5. Step 5: Solve for x
   x = 3,071,265,561/36,442
6. Step 6: Final answer
   x = 84,278.18