Finding the Third Proportional to 5,752 and 12,323

Step by Step Solution

1. Step 1: Write the proportion equation
   5,752 : 12,323 = 12,323 : x
2. Step 2: Convert to fraction form
   5,752/12,323 = 12,323/x
3. Step 3: Cross multiply
   5,752x = 12,323 × 12,323
4. Step 4: Simplify right side
   5,752x = 151,856,329
5. Step 5: Solve for x
   x = 151,856,329/5,752
6. Step 6: Final answer
   x = 26,400.61