Finding the Third Proportional to 11,353.50 and 14,364.56

Step by Step Solution

1. Step 1: Write the proportion equation
   11,353.50 : 14,364.56 = 14,364.56 : x
2. Step 2: Convert to fraction form
   11,353.50/14,364.56 = 14,364.56/x
3. Step 3: Cross multiply
   11,353.50x = 14,364.56 × 14,364.56
4. Step 4: Simplify right side
   11,353.50x = 206,340,655.82
5. Step 5: Solve for x
   x = 206,340,655.82/11,353.50
6. Step 6: Final answer
   x = 18,174.19