Finding the Third Proportional to 10,279.41 and 15,378.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.41 : 15,378.61 = 15,378.61 : x
2. Step 2: Convert to fraction form
   10,279.41/15,378.61 = 15,378.61/x
3. Step 3: Cross multiply
   10,279.41x = 15,378.61 × 15,378.61
4. Step 4: Simplify right side
   10,279.41x = 236,501,626.31
5. Step 5: Solve for x
   x = 236,501,626.31/10,279.41
6. Step 6: Final answer
   x = 23,007.32