Finding the Third Proportional to 10,224 and 16,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224 : 16,159.50 = 16,159.50 : x
2. Step 2: Convert to fraction form
   10,224/16,159.50 = 16,159.50/x
3. Step 3: Cross multiply
   10,224x = 16,159.50 × 16,159.50
4. Step 4: Simplify right side
   10,224x = 261,129,440.25
5. Step 5: Solve for x
   x = 261,129,440.25/10,224
6. Step 6: Final answer
   x = 25,540.83