Finding the Third Proportional to 5,781 and 12,654

Step by Step Solution

1. Step 1: Write the proportion equation
   5,781 : 12,654 = 12,654 : x
2. Step 2: Convert to fraction form
   5,781/12,654 = 12,654/x
3. Step 3: Cross multiply
   5,781x = 12,654 × 12,654
4. Step 4: Simplify right side
   5,781x = 160,123,716
5. Step 5: Solve for x
   x = 160,123,716/5,781
6. Step 6: Final answer
   x = 27,698.27