Finding the Third Proportional to 41,564 and 89,083

Step by Step Solution

1. Step 1: Write the proportion equation
   41,564 : 89,083 = 89,083 : x
2. Step 2: Convert to fraction form
   41,564/89,083 = 89,083/x
3. Step 3: Cross multiply
   41,564x = 89,083 × 89,083
4. Step 4: Simplify right side
   41,564x = 7,935,780,889
5. Step 5: Solve for x
   x = 7,935,780,889/41,564
6. Step 6: Final answer
   x = 190,929.19