Finding the Third Proportional to 17,813.25 and 25,673.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,813.25 : 25,673.63 = 25,673.63 : x
2. Step 2: Convert to fraction form
   17,813.25/25,673.63 = 25,673.63/x
3. Step 3: Cross multiply
   17,813.25x = 25,673.63 × 25,673.63
4. Step 4: Simplify right side
   17,813.25x = 659,135,020.64
5. Step 5: Solve for x
   x = 659,135,020.64/17,813.25
6. Step 6: Final answer
   x = 37,002.51