Finding the Third Proportional to 10,202.91 and 14,449.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,202.91 : 14,449.78 = 14,449.78 : x
2. Step 2: Convert to fraction form
   10,202.91/14,449.78 = 14,449.78/x
3. Step 3: Cross multiply
   10,202.91x = 14,449.78 × 14,449.78
4. Step 4: Simplify right side
   10,202.91x = 208,796,178.17
5. Step 5: Solve for x
   x = 208,796,178.17/10,202.91
6. Step 6: Final answer
   x = 20,464.38