Finding the Third Proportional to 2,047.50 and 2,585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,047.50 : 2,585.25 = 2,585.25 : x
2. Step 2: Convert to fraction form
   2,047.50/2,585.25 = 2,585.25/x
3. Step 3: Cross multiply
   2,047.50x = 2,585.25 × 2,585.25
4. Step 4: Simplify right side
   2,047.50x = 6,683,517.56
5. Step 5: Solve for x
   x = 6,683,517.56/2,047.50
6. Step 6: Final answer
   x = 3,264.23