Finding the Third Proportional to 11,214 and 13,603.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,214 : 13,603.50 = 13,603.50 : x
2. Step 2: Convert to fraction form
   11,214/13,603.50 = 13,603.50/x
3. Step 3: Cross multiply
   11,214x = 13,603.50 × 13,603.50
4. Step 4: Simplify right side
   11,214x = 185,055,212.25
5. Step 5: Solve for x
   x = 185,055,212.25/11,214
6. Step 6: Final answer
   x = 16,502.16