Finding the Third Proportional to 5,688 and 12,000

Step by Step Solution

1. Step 1: Write the proportion equation
   5,688 : 12,000 = 12,000 : x
2. Step 2: Convert to fraction form
   5,688/12,000 = 12,000/x
3. Step 3: Cross multiply
   5,688x = 12,000 × 12,000
4. Step 4: Simplify right side
   5,688x = 144,000,000
5. Step 5: Solve for x
   x = 144,000,000/5,688
6. Step 6: Final answer
   x = 25,316.46