Finding the Third Proportional to 6,984 and 10,831.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,984 : 10,831.50 = 10,831.50 : x
2. Step 2: Convert to fraction form
   6,984/10,831.50 = 10,831.50/x
3. Step 3: Cross multiply
   6,984x = 10,831.50 × 10,831.50
4. Step 4: Simplify right side
   6,984x = 117,321,392.25
5. Step 5: Solve for x
   x = 117,321,392.25/6,984
6. Step 6: Final answer
   x = 16,798.60