Finding the Third Proportional to 38,792 and 83,920

Step by Step Solution

1. Step 1: Write the proportion equation
   38,792 : 83,920 = 83,920 : x
2. Step 2: Convert to fraction form
   38,792/83,920 = 83,920/x
3. Step 3: Cross multiply
   38,792x = 83,920 × 83,920
4. Step 4: Simplify right side
   38,792x = 7,042,566,400
5. Step 5: Solve for x
   x = 7,042,566,400/38,792
6. Step 6: Final answer
   x = 181,546.88