Finding the Third Proportional to 1,726.59 and 3,679.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,726.59 : 3,679.31 = 3,679.31 : x
2. Step 2: Convert to fraction form
   1,726.59/3,679.31 = 3,679.31/x
3. Step 3: Cross multiply
   1,726.59x = 3,679.31 × 3,679.31
4. Step 4: Simplify right side
   1,726.59x = 13,537,340.47
5. Step 5: Solve for x
   x = 13,537,340.47/1,726.59
6. Step 6: Final answer
   x = 7,840.49