Finding the Third Proportional to 14,256 and 21,624.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,256 : 21,624.75 = 21,624.75 : x
2. Step 2: Convert to fraction form
   14,256/21,624.75 = 21,624.75/x
3. Step 3: Cross multiply
   14,256x = 21,624.75 × 21,624.75
4. Step 4: Simplify right side
   14,256x = 467,629,812.56
5. Step 5: Solve for x
   x = 467,629,812.56/14,256
6. Step 6: Final answer
   x = 32,802.32