Finding the Third Proportional to 7,762 and 10,436

Step by Step Solution

1. Step 1: Write the proportion equation
   7,762 : 10,436 = 10,436 : x
2. Step 2: Convert to fraction form
   7,762/10,436 = 10,436/x
3. Step 3: Cross multiply
   7,762x = 10,436 × 10,436
4. Step 4: Simplify right side
   7,762x = 108,910,096
5. Step 5: Solve for x
   x = 108,910,096/7,762
6. Step 6: Final answer
   x = 14,031.19