Finding the Third Proportional to 6,508.69 and 7,146.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,508.69 : 7,146.56 = 7,146.56 : x
2. Step 2: Convert to fraction form
   6,508.69/7,146.56 = 7,146.56/x
3. Step 3: Cross multiply
   6,508.69x = 7,146.56 × 7,146.56
4. Step 4: Simplify right side
   6,508.69x = 51,073,355.57
5. Step 5: Solve for x
   x = 51,073,355.57/6,508.69
6. Step 6: Final answer
   x = 7,846.95