Finding the Third Proportional to 24,685 and 35,180

Step by Step Solution

1. Step 1: Write the proportion equation
   24,685 : 35,180 = 35,180 : x
2. Step 2: Convert to fraction form
   24,685/35,180 = 35,180/x
3. Step 3: Cross multiply
   24,685x = 35,180 × 35,180
4. Step 4: Simplify right side
   24,685x = 1,237,632,400
5. Step 5: Solve for x
   x = 1,237,632,400/24,685
6. Step 6: Final answer
   x = 50,137.02