Finding the Third Proportional to 10,814 and 25,426

Step by Step Solution

1. Step 1: Write the proportion equation
   10,814 : 25,426 = 25,426 : x
2. Step 2: Convert to fraction form
   10,814/25,426 = 25,426/x
3. Step 3: Cross multiply
   10,814x = 25,426 × 25,426
4. Step 4: Simplify right side
   10,814x = 646,481,476
5. Step 5: Solve for x
   x = 646,481,476/10,814
6. Step 6: Final answer
   x = 59,781.90