Finding the Third Proportional to 5,642 and 13,256

Step by Step Solution

1. Step 1: Write the proportion equation
   5,642 : 13,256 = 13,256 : x
2. Step 2: Convert to fraction form
   5,642/13,256 = 13,256/x
3. Step 3: Cross multiply
   5,642x = 13,256 × 13,256
4. Step 4: Simplify right side
   5,642x = 175,721,536
5. Step 5: Solve for x
   x = 175,721,536/5,642
6. Step 6: Final answer
   x = 31,145.26