Finding the Third Proportional to 52,852.50 and 82,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,852.50 : 82,012.50 = 82,012.50 : x
2. Step 2: Convert to fraction form
   52,852.50/82,012.50 = 82,012.50/x
3. Step 3: Cross multiply
   52,852.50x = 82,012.50 × 82,012.50
4. Step 4: Simplify right side
   52,852.50x = 6,726,050,156.25
5. Step 5: Solve for x
   x = 6,726,050,156.25/52,852.50
6. Step 6: Final answer
   x = 127,260.78