Finding the Third Proportional to 37,792 and 50,688

Step by Step Solution

1. Step 1: Write the proportion equation
   37,792 : 50,688 = 50,688 : x
2. Step 2: Convert to fraction form
   37,792/50,688 = 50,688/x
3. Step 3: Cross multiply
   37,792x = 50,688 × 50,688
4. Step 4: Simplify right side
   37,792x = 2,569,273,344
5. Step 5: Solve for x
   x = 2,569,273,344/37,792
6. Step 6: Final answer
   x = 67,984.58