Finding the Third Proportional to 13,006.50 and 14,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,006.50 : 14,221.50 = 14,221.50 : x
2. Step 2: Convert to fraction form
   13,006.50/14,221.50 = 14,221.50/x
3. Step 3: Cross multiply
   13,006.50x = 14,221.50 × 14,221.50
4. Step 4: Simplify right side
   13,006.50x = 202,251,062.25
5. Step 5: Solve for x
   x = 202,251,062.25/13,006.50
6. Step 6: Final answer
   x = 15,550.00