Finding the Third Proportional to 23,832 and 35,342

Step by Step Solution

1. Step 1: Write the proportion equation
   23,832 : 35,342 = 35,342 : x
2. Step 2: Convert to fraction form
   23,832/35,342 = 35,342/x
3. Step 3: Cross multiply
   23,832x = 35,342 × 35,342
4. Step 4: Simplify right side
   23,832x = 1,249,056,964
5. Step 5: Solve for x
   x = 1,249,056,964/23,832
6. Step 6: Final answer
   x = 52,410.92