Finding the Third Proportional to 3,200 and 3,632

Step by Step Solution

1. Step 1: Write the proportion equation
   3,200 : 3,632 = 3,632 : x
2. Step 2: Convert to fraction form
   3,200/3,632 = 3,632/x
3. Step 3: Cross multiply
   3,200x = 3,632 × 3,632
4. Step 4: Simplify right side
   3,200x = 13,191,424
5. Step 5: Solve for x
   x = 13,191,424/3,200
6. Step 6: Final answer
   x = 4,122.32