Finding the Third Proportional to 7,701 and 10,026

Step by Step Solution

1. Step 1: Write the proportion equation
   7,701 : 10,026 = 10,026 : x
2. Step 2: Convert to fraction form
   7,701/10,026 = 10,026/x
3. Step 3: Cross multiply
   7,701x = 10,026 × 10,026
4. Step 4: Simplify right side
   7,701x = 100,520,676
5. Step 5: Solve for x
   x = 100,520,676/7,701
6. Step 6: Final answer
   x = 13,052.94