Finding the Third Proportional to 17,102 and 42,177

Step by Step Solution

1. Step 1: Write the proportion equation
   17,102 : 42,177 = 42,177 : x
2. Step 2: Convert to fraction form
   17,102/42,177 = 42,177/x
3. Step 3: Cross multiply
   17,102x = 42,177 × 42,177
4. Step 4: Simplify right side
   17,102x = 1,778,899,329
5. Step 5: Solve for x
   x = 1,778,899,329/17,102
6. Step 6: Final answer
   x = 104,017.03