Finding the Third Proportional to 52,728 and 82,118

Step by Step Solution

1. Step 1: Write the proportion equation
   52,728 : 82,118 = 82,118 : x
2. Step 2: Convert to fraction form
   52,728/82,118 = 82,118/x
3. Step 3: Cross multiply
   52,728x = 82,118 × 82,118
4. Step 4: Simplify right side
   52,728x = 6,743,365,924
5. Step 5: Solve for x
   x = 6,743,365,924/52,728
6. Step 6: Final answer
   x = 127,889.66