Finding the Third Proportional to 2,522 and 5,349

Step by Step Solution

1. Step 1: Write the proportion equation
   2,522 : 5,349 = 5,349 : x
2. Step 2: Convert to fraction form
   2,522/5,349 = 5,349/x
3. Step 3: Cross multiply
   2,522x = 5,349 × 5,349
4. Step 4: Simplify right side
   2,522x = 28,611,801
5. Step 5: Solve for x
   x = 28,611,801/2,522
6. Step 6: Final answer
   x = 11,344.89