Finding the Third Proportional to 31,440 and 41,328

Step by Step Solution

1. Step 1: Write the proportion equation
   31,440 : 41,328 = 41,328 : x
2. Step 2: Convert to fraction form
   31,440/41,328 = 41,328/x
3. Step 3: Cross multiply
   31,440x = 41,328 × 41,328
4. Step 4: Simplify right side
   31,440x = 1,708,003,584
5. Step 5: Solve for x
   x = 1,708,003,584/31,440
6. Step 6: Final answer
   x = 54,325.81