Finding the Third Proportional to 10,926.50 and 16,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,926.50 : 16,383.50 = 16,383.50 : x
2. Step 2: Convert to fraction form
   10,926.50/16,383.50 = 16,383.50/x
3. Step 3: Cross multiply
   10,926.50x = 16,383.50 × 16,383.50
4. Step 4: Simplify right side
   10,926.50x = 268,419,072.25
5. Step 5: Solve for x
   x = 268,419,072.25/10,926.50
6. Step 6: Final answer
   x = 24,565.88