Finding the Third Proportional to 9,711 and 13,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,711 : 13,168.50 = 13,168.50 : x
2. Step 2: Convert to fraction form
   9,711/13,168.50 = 13,168.50/x
3. Step 3: Cross multiply
   9,711x = 13,168.50 × 13,168.50
4. Step 4: Simplify right side
   9,711x = 173,409,392.25
5. Step 5: Solve for x
   x = 173,409,392.25/9,711
6. Step 6: Final answer
   x = 17,857.01