Finding the Third Proportional to 35,496 and 54,459

Step by Step Solution

1. Step 1: Write the proportion equation
   35,496 : 54,459 = 54,459 : x
2. Step 2: Convert to fraction form
   35,496/54,459 = 54,459/x
3. Step 3: Cross multiply
   35,496x = 54,459 × 54,459
4. Step 4: Simplify right side
   35,496x = 2,965,782,681
5. Step 5: Solve for x
   x = 2,965,782,681/35,496
6. Step 6: Final answer
   x = 83,552.59