Finding the Third Proportional to 10,159.50 and 16,225.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,159.50 : 16,225.88 = 16,225.88 : x
2. Step 2: Convert to fraction form
   10,159.50/16,225.88 = 16,225.88/x
3. Step 3: Cross multiply
   10,159.50x = 16,225.88 × 16,225.88
4. Step 4: Simplify right side
   10,159.50x = 263,279,019.52
5. Step 5: Solve for x
   x = 263,279,019.52/10,159.50
6. Step 6: Final answer
   x = 25,914.56