Finding the Third Proportional to 5,107 and 10,429

Step by Step Solution

1. Step 1: Write the proportion equation
   5,107 : 10,429 = 10,429 : x
2. Step 2: Convert to fraction form
   5,107/10,429 = 10,429/x
3. Step 3: Cross multiply
   5,107x = 10,429 × 10,429
4. Step 4: Simplify right side
   5,107x = 108,764,041
5. Step 5: Solve for x
   x = 108,764,041/5,107
6. Step 6: Final answer
   x = 21,297.05