Finding the Third Proportional to 6,144.50 and 8,210

Step by Step Solution

1. Step 1: Write the proportion equation
   6,144.50 : 8,210 = 8,210 : x
2. Step 2: Convert to fraction form
   6,144.50/8,210 = 8,210/x
3. Step 3: Cross multiply
   6,144.50x = 8,210 × 8,210
4. Step 4: Simplify right side
   6,144.50x = 67,404,100
5. Step 5: Solve for x
   x = 67,404,100/6,144.50
6. Step 6: Final answer
   x = 10,969.83