Finding the Third Proportional to 5,866 and 10,426

Step by Step Solution

1. Step 1: Write the proportion equation
   5,866 : 10,426 = 10,426 : x
2. Step 2: Convert to fraction form
   5,866/10,426 = 10,426/x
3. Step 3: Cross multiply
   5,866x = 10,426 × 10,426
4. Step 4: Simplify right side
   5,866x = 108,701,476
5. Step 5: Solve for x
   x = 108,701,476/5,866
6. Step 6: Final answer
   x = 18,530.77