Finding the Third Proportional to 36,540 and 78,626

Step by Step Solution

1. Step 1: Write the proportion equation
   36,540 : 78,626 = 78,626 : x
2. Step 2: Convert to fraction form
   36,540/78,626 = 78,626/x
3. Step 3: Cross multiply
   36,540x = 78,626 × 78,626
4. Step 4: Simplify right side
   36,540x = 6,182,047,876
5. Step 5: Solve for x
   x = 6,182,047,876/36,540
6. Step 6: Final answer
   x = 169,185.77