Finding the Third Proportional to 5,171.50 and 7,910.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,171.50 : 7,910.50 = 7,910.50 : x
2. Step 2: Convert to fraction form
   5,171.50/7,910.50 = 7,910.50/x
3. Step 3: Cross multiply
   5,171.50x = 7,910.50 × 7,910.50
4. Step 4: Simplify right side
   5,171.50x = 62,576,010.25
5. Step 5: Solve for x
   x = 62,576,010.25/5,171.50
6. Step 6: Final answer
   x = 12,100.17