Finding the Third Proportional to 4,536 and 7,831.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,536 : 7,831.69 = 7,831.69 : x
2. Step 2: Convert to fraction form
   4,536/7,831.69 = 7,831.69/x
3. Step 3: Cross multiply
   4,536x = 7,831.69 × 7,831.69
4. Step 4: Simplify right side
   4,536x = 61,335,329.10
5. Step 5: Solve for x
   x = 61,335,329.10/4,536
6. Step 6: Final answer
   x = 13,521.90