Finding the Third Proportional to 5,624 and 12,329

Step by Step Solution

1. Step 1: Write the proportion equation
   5,624 : 12,329 = 12,329 : x
2. Step 2: Convert to fraction form
   5,624/12,329 = 12,329/x
3. Step 3: Cross multiply
   5,624x = 12,329 × 12,329
4. Step 4: Simplify right side
   5,624x = 152,004,241
5. Step 5: Solve for x
   x = 152,004,241/5,624
6. Step 6: Final answer
   x = 27,027.78