Finding the Third Proportional to 10,956.50 and 16,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,956.50 : 16,415.50 = 16,415.50 : x
2. Step 2: Convert to fraction form
   10,956.50/16,415.50 = 16,415.50/x
3. Step 3: Cross multiply
   10,956.50x = 16,415.50 × 16,415.50
4. Step 4: Simplify right side
   10,956.50x = 269,468,640.25
5. Step 5: Solve for x
   x = 269,468,640.25/10,956.50
6. Step 6: Final answer
   x = 24,594.41