Finding the Third Proportional to 7,878 and 17,116

Step by Step Solution

1. Step 1: Write the proportion equation
   7,878 : 17,116 = 17,116 : x
2. Step 2: Convert to fraction form
   7,878/17,116 = 17,116/x
3. Step 3: Cross multiply
   7,878x = 17,116 × 17,116
4. Step 4: Simplify right side
   7,878x = 292,957,456
5. Step 5: Solve for x
   x = 292,957,456/7,878
6. Step 6: Final answer
   x = 37,186.78