Finding the Third Proportional to 1,685.25 and 2,521.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,685.25 : 2,521.69 = 2,521.69 : x
2. Step 2: Convert to fraction form
   1,685.25/2,521.69 = 2,521.69/x
3. Step 3: Cross multiply
   1,685.25x = 2,521.69 × 2,521.69
4. Step 4: Simplify right side
   1,685.25x = 6,358,907.85
5. Step 5: Solve for x
   x = 6,358,907.85/1,685.25
6. Step 6: Final answer
   x = 3,773.27