Finding the Third Proportional to 10,345.50 and 16,391.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.50 : 16,391.25 = 16,391.25 : x
2. Step 2: Convert to fraction form
   10,345.50/16,391.25 = 16,391.25/x
3. Step 3: Cross multiply
   10,345.50x = 16,391.25 × 16,391.25
4. Step 4: Simplify right side
   10,345.50x = 268,673,076.56
5. Step 5: Solve for x
   x = 268,673,076.56/10,345.50
6. Step 6: Final answer
   x = 25,970.04