Finding the Third Proportional to 25,406 and 34,271

Step by Step Solution

1. Step 1: Write the proportion equation
   25,406 : 34,271 = 34,271 : x
2. Step 2: Convert to fraction form
   25,406/34,271 = 34,271/x
3. Step 3: Cross multiply
   25,406x = 34,271 × 34,271
4. Step 4: Simplify right side
   25,406x = 1,174,501,441
5. Step 5: Solve for x
   x = 1,174,501,441/25,406
6. Step 6: Final answer
   x = 46,229.29