Finding the Third Proportional to 13,440 and 31,908

Step by Step Solution

1. Step 1: Write the proportion equation
   13,440 : 31,908 = 31,908 : x
2. Step 2: Convert to fraction form
   13,440/31,908 = 31,908/x
3. Step 3: Cross multiply
   13,440x = 31,908 × 31,908
4. Step 4: Simplify right side
   13,440x = 1,018,120,464
5. Step 5: Solve for x
   x = 1,018,120,464/13,440
6. Step 6: Final answer
   x = 75,753.01