Finding the Third Proportional to 11,188 and 18,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,188 : 18,116.50 = 18,116.50 : x
2. Step 2: Convert to fraction form
   11,188/18,116.50 = 18,116.50/x
3. Step 3: Cross multiply
   11,188x = 18,116.50 × 18,116.50
4. Step 4: Simplify right side
   11,188x = 328,207,572.25
5. Step 5: Solve for x
   x = 328,207,572.25/11,188
6. Step 6: Final answer
   x = 29,335.68