Finding the Third Proportional to 2,291 and 5,402

Step by Step Solution

1. Step 1: Write the proportion equation
   2,291 : 5,402 = 5,402 : x
2. Step 2: Convert to fraction form
   2,291/5,402 = 5,402/x
3. Step 3: Cross multiply
   2,291x = 5,402 × 5,402
4. Step 4: Simplify right side
   2,291x = 29,181,604
5. Step 5: Solve for x
   x = 29,181,604/2,291
6. Step 6: Final answer
   x = 12,737.50