Finding the Third Proportional to 5,385 and 10,026

Step by Step Solution

1. Step 1: Write the proportion equation
   5,385 : 10,026 = 10,026 : x
2. Step 2: Convert to fraction form
   5,385/10,026 = 10,026/x
3. Step 3: Cross multiply
   5,385x = 10,026 × 10,026
4. Step 4: Simplify right side
   5,385x = 100,520,676
5. Step 5: Solve for x
   x = 100,520,676/5,385
6. Step 6: Final answer
   x = 18,666.79