Finding the Third Proportional to 7,669.69 and 10,254.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,669.69 : 10,254.09 = 10,254.09 : x
2. Step 2: Convert to fraction form
   7,669.69/10,254.09 = 10,254.09/x
3. Step 3: Cross multiply
   7,669.69x = 10,254.09 × 10,254.09
4. Step 4: Simplify right side
   7,669.69x = 105,146,438.63
5. Step 5: Solve for x
   x = 105,146,438.63/7,669.69
6. Step 6: Final answer
   x = 13,709.35