Finding the Third Proportional to 2,583 and 5,292

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583 : 5,292 = 5,292 : x
2. Step 2: Convert to fraction form
   2,583/5,292 = 5,292/x
3. Step 3: Cross multiply
   2,583x = 5,292 × 5,292
4. Step 4: Simplify right side
   2,583x = 28,005,264
5. Step 5: Solve for x
   x = 28,005,264/2,583
6. Step 6: Final answer
   x = 10,842.15