Finding the Third Proportional to 10,457.44 and 14,626.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457.44 : 14,626.83 = 14,626.83 : x
2. Step 2: Convert to fraction form
   10,457.44/14,626.83 = 14,626.83/x
3. Step 3: Cross multiply
   10,457.44x = 14,626.83 × 14,626.83
4. Step 4: Simplify right side
   10,457.44x = 213,944,101.00
5. Step 5: Solve for x
   x = 213,944,101.00/10,457.44
6. Step 6: Final answer
   x = 20,458.56