Finding the Third Proportional to 2,106 and 5,688

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106 : 5,688 = 5,688 : x
2. Step 2: Convert to fraction form
   2,106/5,688 = 5,688/x
3. Step 3: Cross multiply
   2,106x = 5,688 × 5,688
4. Step 4: Simplify right side
   2,106x = 32,353,344
5. Step 5: Solve for x
   x = 32,353,344/2,106
6. Step 6: Final answer
   x = 15,362.46