Finding the Third Proportional to 1,665.75 and 2,444.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.75 : 2,444.25 = 2,444.25 : x
2. Step 2: Convert to fraction form
   1,665.75/2,444.25 = 2,444.25/x
3. Step 3: Cross multiply
   1,665.75x = 2,444.25 × 2,444.25
4. Step 4: Simplify right side
   1,665.75x = 5,974,358.06
5. Step 5: Solve for x
   x = 5,974,358.06/1,665.75
6. Step 6: Final answer
   x = 3,586.59