Finding the Third Proportional to 17,857 and 37,118

Step by Step Solution

1. Step 1: Write the proportion equation
   17,857 : 37,118 = 37,118 : x
2. Step 2: Convert to fraction form
   17,857/37,118 = 37,118/x
3. Step 3: Cross multiply
   17,857x = 37,118 × 37,118
4. Step 4: Simplify right side
   17,857x = 1,377,745,924
5. Step 5: Solve for x
   x = 1,377,745,924/17,857
6. Step 6: Final answer
   x = 77,154.39