Finding the Third Proportional to 5,688 and 12,254

Step by Step Solution

1. Step 1: Write the proportion equation
   5,688 : 12,254 = 12,254 : x
2. Step 2: Convert to fraction form
   5,688/12,254 = 12,254/x
3. Step 3: Cross multiply
   5,688x = 12,254 × 12,254
4. Step 4: Simplify right side
   5,688x = 150,160,516
5. Step 5: Solve for x
   x = 150,160,516/5,688
6. Step 6: Final answer
   x = 26,399.53