Finding the Third Proportional to 52,926 and 82,040.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,926 : 82,040.50 = 82,040.50 : x
2. Step 2: Convert to fraction form
   52,926/82,040.50 = 82,040.50/x
3. Step 3: Cross multiply
   52,926x = 82,040.50 × 82,040.50
4. Step 4: Simplify right side
   52,926x = 6,730,643,640.25
5. Step 5: Solve for x
   x = 6,730,643,640.25/52,926
6. Step 6: Final answer
   x = 127,170.84