Finding the Third Proportional to 10,216.13 and 14,456.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.13 : 14,456.81 = 14,456.81 : x
2. Step 2: Convert to fraction form
   10,216.13/14,456.81 = 14,456.81/x
3. Step 3: Cross multiply
   10,216.13x = 14,456.81 × 14,456.81
4. Step 4: Simplify right side
   10,216.13x = 208,999,427.66
5. Step 5: Solve for x
   x = 208,999,427.66/10,216.13
6. Step 6: Final answer
   x = 20,457.80