Finding the Third Proportional to 23,676 and 35,574

Step by Step Solution

1. Step 1: Write the proportion equation
   23,676 : 35,574 = 35,574 : x
2. Step 2: Convert to fraction form
   23,676/35,574 = 35,574/x
3. Step 3: Cross multiply
   23,676x = 35,574 × 35,574
4. Step 4: Simplify right side
   23,676x = 1,265,509,476
5. Step 5: Solve for x
   x = 1,265,509,476/23,676
6. Step 6: Final answer
   x = 53,451.15