Finding the Third Proportional to 49,890 and 72,891

Step by Step Solution

1. Step 1: Write the proportion equation
   49,890 : 72,891 = 72,891 : x
2. Step 2: Convert to fraction form
   49,890/72,891 = 72,891/x
3. Step 3: Cross multiply
   49,890x = 72,891 × 72,891
4. Step 4: Simplify right side
   49,890x = 5,313,097,881
5. Step 5: Solve for x
   x = 5,313,097,881/49,890
6. Step 6: Final answer
   x = 106,496.25