Finding the Third Proportional to 5,724 and 12,300

Step by Step Solution

1. Step 1: Write the proportion equation
   5,724 : 12,300 = 12,300 : x
2. Step 2: Convert to fraction form
   5,724/12,300 = 12,300/x
3. Step 3: Cross multiply
   5,724x = 12,300 × 12,300
4. Step 4: Simplify right side
   5,724x = 151,290,000
5. Step 5: Solve for x
   x = 151,290,000/5,724
6. Step 6: Final answer
   x = 26,430.82