Finding the Third Proportional to 5,624 and 12,323

Step by Step Solution

1. Step 1: Write the proportion equation
   5,624 : 12,323 = 12,323 : x
2. Step 2: Convert to fraction form
   5,624/12,323 = 12,323/x
3. Step 3: Cross multiply
   5,624x = 12,323 × 12,323
4. Step 4: Simplify right side
   5,624x = 151,856,329
5. Step 5: Solve for x
   x = 151,856,329/5,624
6. Step 6: Final answer
   x = 27,001.48