Finding the Third Proportional to 2,154 and 5,661

Step by Step Solution

1. Step 1: Write the proportion equation
   2,154 : 5,661 = 5,661 : x
2. Step 2: Convert to fraction form
   2,154/5,661 = 5,661/x
3. Step 3: Cross multiply
   2,154x = 5,661 × 5,661
4. Step 4: Simplify right side
   2,154x = 32,046,921
5. Step 5: Solve for x
   x = 32,046,921/2,154
6. Step 6: Final answer
   x = 14,877.86