Finding the Third Proportional to 7,689.38 and 10,096.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,689.38 : 10,096.63 = 10,096.63 : x
2. Step 2: Convert to fraction form
   7,689.38/10,096.63 = 10,096.63/x
3. Step 3: Cross multiply
   7,689.38x = 10,096.63 × 10,096.63
4. Step 4: Simplify right side
   7,689.38x = 101,941,836.39
5. Step 5: Solve for x
   x = 101,941,836.39/7,689.38
6. Step 6: Final answer
   x = 13,257.49