Finding the Third Proportional to 37,384 and 80,792

Step by Step Solution

1. Step 1: Write the proportion equation
   37,384 : 80,792 = 80,792 : x
2. Step 2: Convert to fraction form
   37,384/80,792 = 80,792/x
3. Step 3: Cross multiply
   37,384x = 80,792 × 80,792
4. Step 4: Simplify right side
   37,384x = 6,527,347,264
5. Step 5: Solve for x
   x = 6,527,347,264/37,384
6. Step 6: Final answer
   x = 174,602.70