Finding the Third Proportional to 17,410 and 35,741

Step by Step Solution

1. Step 1: Write the proportion equation
   17,410 : 35,741 = 35,741 : x
2. Step 2: Convert to fraction form
   17,410/35,741 = 35,741/x
3. Step 3: Cross multiply
   17,410x = 35,741 × 35,741
4. Step 4: Simplify right side
   17,410x = 1,277,419,081
5. Step 5: Solve for x
   x = 1,277,419,081/17,410
6. Step 6: Final answer
   x = 73,372.72