Finding the Third Proportional to 6,911 and 10,718.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,911 : 10,718.50 = 10,718.50 : x
2. Step 2: Convert to fraction form
   6,911/10,718.50 = 10,718.50/x
3. Step 3: Cross multiply
   6,911x = 10,718.50 × 10,718.50
4. Step 4: Simplify right side
   6,911x = 114,886,242.25
5. Step 5: Solve for x
   x = 114,886,242.25/6,911
6. Step 6: Final answer
   x = 16,623.68