Finding the Third Proportional to 6,516 and 10,697

Step by Step Solution

1. Step 1: Write the proportion equation
   6,516 : 10,697 = 10,697 : x
2. Step 2: Convert to fraction form
   6,516/10,697 = 10,697/x
3. Step 3: Cross multiply
   6,516x = 10,697 × 10,697
4. Step 4: Simplify right side
   6,516x = 114,425,809
5. Step 5: Solve for x
   x = 114,425,809/6,516
6. Step 6: Final answer
   x = 17,560.74