Finding the Third Proportional to 7,723.69 and 14,672.81

Step by Step Solution

1. Step 1: Write the proportion equation
   7,723.69 : 14,672.81 = 14,672.81 : x
2. Step 2: Convert to fraction form
   7,723.69/14,672.81 = 14,672.81/x
3. Step 3: Cross multiply
   7,723.69x = 14,672.81 × 14,672.81
4. Step 4: Simplify right side
   7,723.69x = 215,291,426.66
5. Step 5: Solve for x
   x = 215,291,426.66/7,723.69
6. Step 6: Final answer
   x = 27,874.18