Finding the Third Proportional to 6,026.50 and 7,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,026.50 : 7,997.50 = 7,997.50 : x
2. Step 2: Convert to fraction form
   6,026.50/7,997.50 = 7,997.50/x
3. Step 3: Cross multiply
   6,026.50x = 7,997.50 × 7,997.50
4. Step 4: Simplify right side
   6,026.50x = 63,960,006.25
5. Step 5: Solve for x
   x = 63,960,006.25/6,026.50
6. Step 6: Final answer
   x = 10,613.13