Finding the Third Proportional to 2,522.25 and 5,409

Step by Step Solution

1. Step 1: Write the proportion equation
   2,522.25 : 5,409 = 5,409 : x
2. Step 2: Convert to fraction form
   2,522.25/5,409 = 5,409/x
3. Step 3: Cross multiply
   2,522.25x = 5,409 × 5,409
4. Step 4: Simplify right side
   2,522.25x = 29,257,281
5. Step 5: Solve for x
   x = 29,257,281/2,522.25
6. Step 6: Final answer
   x = 11,599.68