Finding the Third Proportional to 10,315.75 and 15,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,315.75 : 15,496.50 = 15,496.50 : x
2. Step 2: Convert to fraction form
   10,315.75/15,496.50 = 15,496.50/x
3. Step 3: Cross multiply
   10,315.75x = 15,496.50 × 15,496.50
4. Step 4: Simplify right side
   10,315.75x = 240,141,512.25
5. Step 5: Solve for x
   x = 240,141,512.25/10,315.75
6. Step 6: Final answer
   x = 23,279.11