Finding the Third Proportional to 11,002 and 14,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,002 : 14,588.50 = 14,588.50 : x
2. Step 2: Convert to fraction form
   11,002/14,588.50 = 14,588.50/x
3. Step 3: Cross multiply
   11,002x = 14,588.50 × 14,588.50
4. Step 4: Simplify right side
   11,002x = 212,824,332.25
5. Step 5: Solve for x
   x = 212,824,332.25/11,002
6. Step 6: Final answer
   x = 19,344.15