Finding the Third Proportional to 25,174 and 35,288

Step by Step Solution

1. Step 1: Write the proportion equation
   25,174 : 35,288 = 35,288 : x
2. Step 2: Convert to fraction form
   25,174/35,288 = 35,288/x
3. Step 3: Cross multiply
   25,174x = 35,288 × 35,288
4. Step 4: Simplify right side
   25,174x = 1,245,242,944
5. Step 5: Solve for x
   x = 1,245,242,944/25,174
6. Step 6: Final answer
   x = 49,465.44