Finding the Third Proportional to 7,186.50 and 10,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,186.50 : 10,789.50 = 10,789.50 : x
2. Step 2: Convert to fraction form
   7,186.50/10,789.50 = 10,789.50/x
3. Step 3: Cross multiply
   7,186.50x = 10,789.50 × 10,789.50
4. Step 4: Simplify right side
   7,186.50x = 116,413,310.25
5. Step 5: Solve for x
   x = 116,413,310.25/7,186.50
6. Step 6: Final answer
   x = 16,198.89