Finding the Third Proportional to 7,878 and 17,151

Step by Step Solution

1. Step 1: Write the proportion equation
   7,878 : 17,151 = 17,151 : x
2. Step 2: Convert to fraction form
   7,878/17,151 = 17,151/x
3. Step 3: Cross multiply
   7,878x = 17,151 × 17,151
4. Step 4: Simplify right side
   7,878x = 294,156,801
5. Step 5: Solve for x
   x = 294,156,801/7,878
6. Step 6: Final answer
   x = 37,339.02