Finding the Third Proportional to 7,681.92 and 10,378.83

Step by Step Solution

1. Step 1: Write the proportion equation
   7,681.92 : 10,378.83 = 10,378.83 : x
2. Step 2: Convert to fraction form
   7,681.92/10,378.83 = 10,378.83/x
3. Step 3: Cross multiply
   7,681.92x = 10,378.83 × 10,378.83
4. Step 4: Simplify right side
   7,681.92x = 107,720,073.25
5. Step 5: Solve for x
   x = 107,720,073.25/7,681.92
6. Step 6: Final answer
   x = 14,022.54