Finding the Third Proportional to 7,762 and 10,698

Step by Step Solution

1. Step 1: Write the proportion equation
   7,762 : 10,698 = 10,698 : x
2. Step 2: Convert to fraction form
   7,762/10,698 = 10,698/x
3. Step 3: Cross multiply
   7,762x = 10,698 × 10,698
4. Step 4: Simplify right side
   7,762x = 114,447,204
5. Step 5: Solve for x
   x = 114,447,204/7,762
6. Step 6: Final answer
   x = 14,744.55