Finding the Third Proportional to 12,356 and 17,654

Step by Step Solution

1. Step 1: Write the proportion equation
   12,356 : 17,654 = 17,654 : x
2. Step 2: Convert to fraction form
   12,356/17,654 = 17,654/x
3. Step 3: Cross multiply
   12,356x = 17,654 × 17,654
4. Step 4: Simplify right side
   12,356x = 311,663,716
5. Step 5: Solve for x
   x = 311,663,716/12,356
6. Step 6: Final answer
   x = 25,223.67