Finding the Third Proportional to 23,674 and 35,615

Step by Step Solution

1. Step 1: Write the proportion equation
   23,674 : 35,615 = 35,615 : x
2. Step 2: Convert to fraction form
   23,674/35,615 = 35,615/x
3. Step 3: Cross multiply
   23,674x = 35,615 × 35,615
4. Step 4: Simplify right side
   23,674x = 1,268,428,225
5. Step 5: Solve for x
   x = 1,268,428,225/23,674
6. Step 6: Final answer
   x = 53,578.96