Finding the Third Proportional to 1,726.75 and 3,695.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,726.75 : 3,695.25 = 3,695.25 : x
2. Step 2: Convert to fraction form
   1,726.75/3,695.25 = 3,695.25/x
3. Step 3: Cross multiply
   1,726.75x = 3,695.25 × 3,695.25
4. Step 4: Simplify right side
   1,726.75x = 13,654,872.56
5. Step 5: Solve for x
   x = 13,654,872.56/1,726.75
6. Step 6: Final answer
   x = 7,907.85