Finding the Third Proportional to 3,632 and 5,433.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,632 : 5,433.50 = 5,433.50 : x
2. Step 2: Convert to fraction form
   3,632/5,433.50 = 5,433.50/x
3. Step 3: Cross multiply
   3,632x = 5,433.50 × 5,433.50
4. Step 4: Simplify right side
   3,632x = 29,522,922.25
5. Step 5: Solve for x
   x = 29,522,922.25/3,632
6. Step 6: Final answer
   x = 8,128.56