Finding the Third Proportional to 36,721 and 55,496

Step by Step Solution

1. Step 1: Write the proportion equation
   36,721 : 55,496 = 55,496 : x
2. Step 2: Convert to fraction form
   36,721/55,496 = 55,496/x
3. Step 3: Cross multiply
   36,721x = 55,496 × 55,496
4. Step 4: Simplify right side
   36,721x = 3,079,806,016
5. Step 5: Solve for x
   x = 3,079,806,016/36,721
6. Step 6: Final answer
   x = 83,870.43