Finding the Third Proportional to 1,657.75 and 3,569.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,657.75 : 3,569.25 = 3,569.25 : x
2. Step 2: Convert to fraction form
   1,657.75/3,569.25 = 3,569.25/x
3. Step 3: Cross multiply
   1,657.75x = 3,569.25 × 3,569.25
4. Step 4: Simplify right side
   1,657.75x = 12,739,545.56
5. Step 5: Solve for x
   x = 12,739,545.56/1,657.75
6. Step 6: Final answer
   x = 7,684.84