Finding the Third Proportional to 53,680 and 72,896

Step by Step Solution

1. Step 1: Write the proportion equation
   53,680 : 72,896 = 72,896 : x
2. Step 2: Convert to fraction form
   53,680/72,896 = 72,896/x
3. Step 3: Cross multiply
   53,680x = 72,896 × 72,896
4. Step 4: Simplify right side
   53,680x = 5,313,826,816
5. Step 5: Solve for x
   x = 5,313,826,816/53,680
6. Step 6: Final answer
   x = 98,990.81