Finding the Third Proportional to 48,256 and 72,896

Step by Step Solution

1. Step 1: Write the proportion equation
   48,256 : 72,896 = 72,896 : x
2. Step 2: Convert to fraction form
   48,256/72,896 = 72,896/x
3. Step 3: Cross multiply
   48,256x = 72,896 × 72,896
4. Step 4: Simplify right side
   48,256x = 5,313,826,816
5. Step 5: Solve for x
   x = 5,313,826,816/48,256
6. Step 6: Final answer
   x = 110,117.43