Finding the Third Proportional to 41,072 and 89,560

Step by Step Solution

1. Step 1: Write the proportion equation
   41,072 : 89,560 = 89,560 : x
2. Step 2: Convert to fraction form
   41,072/89,560 = 89,560/x
3. Step 3: Cross multiply
   41,072x = 89,560 × 89,560
4. Step 4: Simplify right side
   41,072x = 8,020,993,600
5. Step 5: Solve for x
   x = 8,020,993,600/41,072
6. Step 6: Final answer
   x = 195,291.04