Finding the Third Proportional to 52,879 and 82,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,879 : 82,003.50 = 82,003.50 : x
2. Step 2: Convert to fraction form
   52,879/82,003.50 = 82,003.50/x
3. Step 3: Cross multiply
   52,879x = 82,003.50 × 82,003.50
4. Step 4: Simplify right side
   52,879x = 6,724,574,012.25
5. Step 5: Solve for x
   x = 6,724,574,012.25/52,879
6. Step 6: Final answer
   x = 127,169.08