Finding the Third Proportional to 17,856 and 26,231.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,856 : 26,231.25 = 26,231.25 : x
2. Step 2: Convert to fraction form
   17,856/26,231.25 = 26,231.25/x
3. Step 3: Cross multiply
   17,856x = 26,231.25 × 26,231.25
4. Step 4: Simplify right side
   17,856x = 688,078,476.56
5. Step 5: Solve for x
   x = 688,078,476.56/17,856
6. Step 6: Final answer
   x = 38,534.86