Finding the Third Proportional to 2,291 and 5,108.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,291 : 5,108.50 = 5,108.50 : x
2. Step 2: Convert to fraction form
   2,291/5,108.50 = 5,108.50/x
3. Step 3: Cross multiply
   2,291x = 5,108.50 × 5,108.50
4. Step 4: Simplify right side
   2,291x = 26,096,772.25
5. Step 5: Solve for x
   x = 26,096,772.25/2,291
6. Step 6: Final answer
   x = 11,391.00