Finding the Third Proportional to 1,632 and 3,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,632 : 3,574.50 = 3,574.50 : x
2. Step 2: Convert to fraction form
   1,632/3,574.50 = 3,574.50/x
3. Step 3: Cross multiply
   1,632x = 3,574.50 × 3,574.50
4. Step 4: Simplify right side
   1,632x = 12,777,050.25
5. Step 5: Solve for x
   x = 12,777,050.25/1,632
6. Step 6: Final answer
   x = 7,829.07