Finding the Third Proportional to 17,174 and 25,846

Step by Step Solution

1. Step 1: Write the proportion equation
   17,174 : 25,846 = 25,846 : x
2. Step 2: Convert to fraction form
   17,174/25,846 = 25,846/x
3. Step 3: Cross multiply
   17,174x = 25,846 × 25,846
4. Step 4: Simplify right side
   17,174x = 668,015,716
5. Step 5: Solve for x
   x = 668,015,716/17,174
6. Step 6: Final answer
   x = 38,896.92