Finding the Third Proportional to 35,521 and 54,496

Step by Step Solution

1. Step 1: Write the proportion equation
   35,521 : 54,496 = 54,496 : x
2. Step 2: Convert to fraction form
   35,521/54,496 = 54,496/x
3. Step 3: Cross multiply
   35,521x = 54,496 × 54,496
4. Step 4: Simplify right side
   35,521x = 2,969,814,016
5. Step 5: Solve for x
   x = 2,969,814,016/35,521
6. Step 6: Final answer
   x = 83,607.28