Finding the Third Proportional to 11,214 and 17,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,214 : 17,353.50 = 17,353.50 : x
2. Step 2: Convert to fraction form
   11,214/17,353.50 = 17,353.50/x
3. Step 3: Cross multiply
   11,214x = 17,353.50 × 17,353.50
4. Step 4: Simplify right side
   11,214x = 301,143,962.25
5. Step 5: Solve for x
   x = 301,143,962.25/11,214
6. Step 6: Final answer
   x = 26,854.29