Finding the Third Proportional to 10,158.75 and 16,222.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158.75 : 16,222.13 = 16,222.13 : x
2. Step 2: Convert to fraction form
   10,158.75/16,222.13 = 16,222.13/x
3. Step 3: Cross multiply
   10,158.75x = 16,222.13 × 16,222.13
4. Step 4: Simplify right side
   10,158.75x = 263,157,339.52
5. Step 5: Solve for x
   x = 263,157,339.52/10,158.75
6. Step 6: Final answer
   x = 25,904.50