Finding the Third Proportional to 17,673.75 and 36,578.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,673.75 : 36,578.25 = 36,578.25 : x
2. Step 2: Convert to fraction form
   17,673.75/36,578.25 = 36,578.25/x
3. Step 3: Cross multiply
   17,673.75x = 36,578.25 × 36,578.25
4. Step 4: Simplify right side
   17,673.75x = 1,337,968,373.06
5. Step 5: Solve for x
   x = 1,337,968,373.06/17,673.75
6. Step 6: Final answer
   x = 75,703.71