Finding the Third Proportional to 3,707.25 and 7,830.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,707.25 : 7,830.75 = 7,830.75 : x
2. Step 2: Convert to fraction form
   3,707.25/7,830.75 = 7,830.75/x
3. Step 3: Cross multiply
   3,707.25x = 7,830.75 × 7,830.75
4. Step 4: Simplify right side
   3,707.25x = 61,320,645.56
5. Step 5: Solve for x
   x = 61,320,645.56/3,707.25
6. Step 6: Final answer
   x = 16,540.74