Finding the Third Proportional to 7,762 and 10,714

Step by Step Solution

1. Step 1: Write the proportion equation
   7,762 : 10,714 = 10,714 : x
2. Step 2: Convert to fraction form
   7,762/10,714 = 10,714/x
3. Step 3: Cross multiply
   7,762x = 10,714 × 10,714
4. Step 4: Simplify right side
   7,762x = 114,789,796
5. Step 5: Solve for x
   x = 114,789,796/7,762
6. Step 6: Final answer
   x = 14,788.69