Finding the Third Proportional to 17,857 and 34,094

Step by Step Solution

1. Step 1: Write the proportion equation
   17,857 : 34,094 = 34,094 : x
2. Step 2: Convert to fraction form
   17,857/34,094 = 34,094/x
3. Step 3: Cross multiply
   17,857x = 34,094 × 34,094
4. Step 4: Simplify right side
   17,857x = 1,162,400,836
5. Step 5: Solve for x
   x = 1,162,400,836/17,857
6. Step 6: Final answer
   x = 65,094.97