Finding the Third Proportional to 7,857 and 17,118

Step by Step Solution

1. Step 1: Write the proportion equation
   7,857 : 17,118 = 17,118 : x
2. Step 2: Convert to fraction form
   7,857/17,118 = 17,118/x
3. Step 3: Cross multiply
   7,857x = 17,118 × 17,118
4. Step 4: Simplify right side
   7,857x = 293,025,924
5. Step 5: Solve for x
   x = 293,025,924/7,857
6. Step 6: Final answer
   x = 37,294.89