Finding the Third Proportional to 7,834 and 17,980

Step by Step Solution

1. Step 1: Write the proportion equation
   7,834 : 17,980 = 17,980 : x
2. Step 2: Convert to fraction form
   7,834/17,980 = 17,980/x
3. Step 3: Cross multiply
   7,834x = 17,980 × 17,980
4. Step 4: Simplify right side
   7,834x = 323,280,400
5. Step 5: Solve for x
   x = 323,280,400/7,834
6. Step 6: Final answer
   x = 41,266.33