Finding the Third Proportional to 15,728 and 34,426

Step by Step Solution

1. Step 1: Write the proportion equation
   15,728 : 34,426 = 34,426 : x
2. Step 2: Convert to fraction form
   15,728/34,426 = 34,426/x
3. Step 3: Cross multiply
   15,728x = 34,426 × 34,426
4. Step 4: Simplify right side
   15,728x = 1,185,149,476
5. Step 5: Solve for x
   x = 1,185,149,476/15,728
6. Step 6: Final answer
   x = 75,352.84