Finding the Third Proportional to 10,264.50 and 16,319.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.50 : 16,319.25 = 16,319.25 : x
2. Step 2: Convert to fraction form
   10,264.50/16,319.25 = 16,319.25/x
3. Step 3: Cross multiply
   10,264.50x = 16,319.25 × 16,319.25
4. Step 4: Simplify right side
   10,264.50x = 266,317,920.56
5. Step 5: Solve for x
   x = 266,317,920.56/10,264.50
6. Step 6: Final answer
   x = 25,945.53