Finding the Third Proportional to 2,286 and 5,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,286 : 5,098.50 = 5,098.50 : x
2. Step 2: Convert to fraction form
   2,286/5,098.50 = 5,098.50/x
3. Step 3: Cross multiply
   2,286x = 5,098.50 × 5,098.50
4. Step 4: Simplify right side
   2,286x = 25,994,702.25
5. Step 5: Solve for x
   x = 25,994,702.25/2,286
6. Step 6: Final answer
   x = 11,371.26