Finding the Third Proportional to 54,816 and 82,002

Step by Step Solution

1. Step 1: Write the proportion equation
   54,816 : 82,002 = 82,002 : x
2. Step 2: Convert to fraction form
   54,816/82,002 = 82,002/x
3. Step 3: Cross multiply
   54,816x = 82,002 × 82,002
4. Step 4: Simplify right side
   54,816x = 6,724,328,004
5. Step 5: Solve for x
   x = 6,724,328,004/54,816
6. Step 6: Final answer
   x = 122,670.90