Finding the Third Proportional to 36,792 and 58,284

Step by Step Solution

1. Step 1: Write the proportion equation
   36,792 : 58,284 = 58,284 : x
2. Step 2: Convert to fraction form
   36,792/58,284 = 58,284/x
3. Step 3: Cross multiply
   36,792x = 58,284 × 58,284
4. Step 4: Simplify right side
   36,792x = 3,397,024,656
5. Step 5: Solve for x
   x = 3,397,024,656/36,792
6. Step 6: Final answer
   x = 92,330.52