Finding the Third Proportional to 1,632.34 and 3,559.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,632.34 : 3,559.57 = 3,559.57 : x
2. Step 2: Convert to fraction form
   1,632.34/3,559.57 = 3,559.57/x
3. Step 3: Cross multiply
   1,632.34x = 3,559.57 × 3,559.57
4. Step 4: Simplify right side
   1,632.34x = 12,670,540.81
5. Step 5: Solve for x
   x = 12,670,540.81/1,632.34
6. Step 6: Final answer
   x = 7,762.20