Finding the Third Proportional to 17,792 and 41,564

Step by Step Solution

1. Step 1: Write the proportion equation
   17,792 : 41,564 = 41,564 : x
2. Step 2: Convert to fraction form
   17,792/41,564 = 41,564/x
3. Step 3: Cross multiply
   17,792x = 41,564 × 41,564
4. Step 4: Simplify right side
   17,792x = 1,727,566,096
5. Step 5: Solve for x
   x = 1,727,566,096/17,792
6. Step 6: Final answer
   x = 97,097.91