Finding the Third Proportional to 11,553 and 17,434

Step by Step Solution

1. Step 1: Write the proportion equation
   11,553 : 17,434 = 17,434 : x
2. Step 2: Convert to fraction form
   11,553/17,434 = 17,434/x
3. Step 3: Cross multiply
   11,553x = 17,434 × 17,434
4. Step 4: Simplify right side
   11,553x = 303,944,356
5. Step 5: Solve for x
   x = 303,944,356/11,553
6. Step 6: Final answer
   x = 26,308.70