Finding the Third Proportional to 7,926 and 17,426

Step by Step Solution

1. Step 1: Write the proportion equation
   7,926 : 17,426 = 17,426 : x
2. Step 2: Convert to fraction form
   7,926/17,426 = 17,426/x
3. Step 3: Cross multiply
   7,926x = 17,426 × 17,426
4. Step 4: Simplify right side
   7,926x = 303,665,476
5. Step 5: Solve for x
   x = 303,665,476/7,926
6. Step 6: Final answer
   x = 38,312.58