Finding the Third Proportional to 41,564 and 89,032

Step by Step Solution

1. Step 1: Write the proportion equation
   41,564 : 89,032 = 89,032 : x
2. Step 2: Convert to fraction form
   41,564/89,032 = 89,032/x
3. Step 3: Cross multiply
   41,564x = 89,032 × 89,032
4. Step 4: Simplify right side
   41,564x = 7,926,697,024
5. Step 5: Solve for x
   x = 7,926,697,024/41,564
6. Step 6: Final answer
   x = 190,710.64