Finding the Third Proportional to 17,792 and 37,264

Step by Step Solution

1. Step 1: Write the proportion equation
   17,792 : 37,264 = 37,264 : x
2. Step 2: Convert to fraction form
   17,792/37,264 = 37,264/x
3. Step 3: Cross multiply
   17,792x = 37,264 × 37,264
4. Step 4: Simplify right side
   17,792x = 1,388,605,696
5. Step 5: Solve for x
   x = 1,388,605,696/17,792
6. Step 6: Final answer
   x = 78,046.63