Finding the Third Proportional to 34,128 and 37,440

Step by Step Solution

1. Step 1: Write the proportion equation
   34,128 : 37,440 = 37,440 : x
2. Step 2: Convert to fraction form
   34,128/37,440 = 37,440/x
3. Step 3: Cross multiply
   34,128x = 37,440 × 37,440
4. Step 4: Simplify right side
   34,128x = 1,401,753,600
5. Step 5: Solve for x
   x = 1,401,753,600/34,128
6. Step 6: Final answer
   x = 41,073.42