Finding the Third Proportional to 2,583 and 5,465.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583 : 5,465.25 = 5,465.25 : x
2. Step 2: Convert to fraction form
   2,583/5,465.25 = 5,465.25/x
3. Step 3: Cross multiply
   2,583x = 5,465.25 × 5,465.25
4. Step 4: Simplify right side
   2,583x = 29,868,957.56
5. Step 5: Solve for x
   x = 29,868,957.56/2,583
6. Step 6: Final answer
   x = 11,563.67