Finding the Third Proportional to 23,717 and 35,513

Step by Step Solution

1. Step 1: Write the proportion equation
   23,717 : 35,513 = 35,513 : x
2. Step 2: Convert to fraction form
   23,717/35,513 = 35,513/x
3. Step 3: Cross multiply
   23,717x = 35,513 × 35,513
4. Step 4: Simplify right side
   23,717x = 1,261,173,169
5. Step 5: Solve for x
   x = 1,261,173,169/23,717
6. Step 6: Final answer
   x = 53,175.91