Finding the Third Proportional to 17,256 and 27,672

Step by Step Solution

1. Step 1: Write the proportion equation
   17,256 : 27,672 = 27,672 : x
2. Step 2: Convert to fraction form
   17,256/27,672 = 27,672/x
3. Step 3: Cross multiply
   17,256x = 27,672 × 27,672
4. Step 4: Simplify right side
   17,256x = 765,739,584
5. Step 5: Solve for x
   x = 765,739,584/17,256
6. Step 6: Final answer
   x = 44,375.27