Finding the Third Proportional to 2,092.50 and 2,259

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.50 : 2,259 = 2,259 : x
2. Step 2: Convert to fraction form
   2,092.50/2,259 = 2,259/x
3. Step 3: Cross multiply
   2,092.50x = 2,259 × 2,259
4. Step 4: Simplify right side
   2,092.50x = 5,103,081
5. Step 5: Solve for x
   x = 5,103,081/2,092.50
6. Step 6: Final answer
   x = 2,438.75