Finding the Third Proportional to 17,781.75 and 25,940.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,781.75 : 25,940.25 = 25,940.25 : x
2. Step 2: Convert to fraction form
   17,781.75/25,940.25 = 25,940.25/x
3. Step 3: Cross multiply
   17,781.75x = 25,940.25 × 25,940.25
4. Step 4: Simplify right side
   17,781.75x = 672,896,570.06
5. Step 5: Solve for x
   x = 672,896,570.06/17,781.75
6. Step 6: Final answer
   x = 37,841.98