Finding the Third Proportional to 31,896 and 48,960

Step by Step Solution

1. Step 1: Write the proportion equation
   31,896 : 48,960 = 48,960 : x
2. Step 2: Convert to fraction form
   31,896/48,960 = 48,960/x
3. Step 3: Cross multiply
   31,896x = 48,960 × 48,960
4. Step 4: Simplify right side
   31,896x = 2,397,081,600
5. Step 5: Solve for x
   x = 2,397,081,600/31,896
6. Step 6: Final answer
   x = 75,153.05