Finding the Third Proportional to 2,566 and 3,632

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566 : 3,632 = 3,632 : x
2. Step 2: Convert to fraction form
   2,566/3,632 = 3,632/x
3. Step 3: Cross multiply
   2,566x = 3,632 × 3,632
4. Step 4: Simplify right side
   2,566x = 13,191,424
5. Step 5: Solve for x
   x = 13,191,424/2,566
6. Step 6: Final answer
   x = 5,140.85