Finding the Third Proportional to 52,736 and 82,128

Step by Step Solution

1. Step 1: Write the proportion equation
   52,736 : 82,128 = 82,128 : x
2. Step 2: Convert to fraction form
   52,736/82,128 = 82,128/x
3. Step 3: Cross multiply
   52,736x = 82,128 × 82,128
4. Step 4: Simplify right side
   52,736x = 6,745,008,384
5. Step 5: Solve for x
   x = 6,745,008,384/52,736
6. Step 6: Final answer
   x = 127,901.40