Finding the Third Proportional to 1,706.06 and 2,565.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,706.06 : 2,565.42 = 2,565.42 : x
2. Step 2: Convert to fraction form
   1,706.06/2,565.42 = 2,565.42/x
3. Step 3: Cross multiply
   1,706.06x = 2,565.42 × 2,565.42
4. Step 4: Simplify right side
   1,706.06x = 6,581,389.40
5. Step 5: Solve for x
   x = 6,581,389.40/1,706.06
6. Step 6: Final answer
   x = 3,857.65