Finding the Third Proportional to 25,168 and 35,182

Step by Step Solution

1. Step 1: Write the proportion equation
   25,168 : 35,182 = 35,182 : x
2. Step 2: Convert to fraction form
   25,168/35,182 = 35,182/x
3. Step 3: Cross multiply
   25,168x = 35,182 × 35,182
4. Step 4: Simplify right side
   25,168x = 1,237,773,124
5. Step 5: Solve for x
   x = 1,237,773,124/25,168
6. Step 6: Final answer
   x = 49,180.43