Finding the Third Proportional to 13,175 and 23,426

Step by Step Solution

1. Step 1: Write the proportion equation
   13,175 : 23,426 = 23,426 : x
2. Step 2: Convert to fraction form
   13,175/23,426 = 23,426/x
3. Step 3: Cross multiply
   13,175x = 23,426 × 23,426
4. Step 4: Simplify right side
   13,175x = 548,777,476
5. Step 5: Solve for x
   x = 548,777,476/13,175
6. Step 6: Final answer
   x = 41,652.94