Finding the Third Proportional to 17,837.75 and 26,239.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,837.75 : 26,239.25 = 26,239.25 : x
2. Step 2: Convert to fraction form
   17,837.75/26,239.25 = 26,239.25/x
3. Step 3: Cross multiply
   17,837.75x = 26,239.25 × 26,239.25
4. Step 4: Simplify right side
   17,837.75x = 688,498,240.56
5. Step 5: Solve for x
   x = 688,498,240.56/17,837.75
6. Step 6: Final answer
   x = 38,597.82