Finding the Third Proportional to 11,348 and 17,654

Step by Step Solution

1. Step 1: Write the proportion equation
   11,348 : 17,654 = 17,654 : x
2. Step 2: Convert to fraction form
   11,348/17,654 = 17,654/x
3. Step 3: Cross multiply
   11,348x = 17,654 × 17,654
4. Step 4: Simplify right side
   11,348x = 311,663,716
5. Step 5: Solve for x
   x = 311,663,716/11,348
6. Step 6: Final answer
   x = 27,464.20