Finding the Third Proportional to 6,466.50 and 7,696.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,466.50 : 7,696.69 = 7,696.69 : x
2. Step 2: Convert to fraction form
   6,466.50/7,696.69 = 7,696.69/x
3. Step 3: Cross multiply
   6,466.50x = 7,696.69 × 7,696.69
4. Step 4: Simplify right side
   6,466.50x = 59,238,998.47
5. Step 5: Solve for x
   x = 59,238,998.47/6,466.50
6. Step 6: Final answer
   x = 9,160.91