Finding the Third Proportional to 23,414 and 35,083

Step by Step Solution

1. Step 1: Write the proportion equation
   23,414 : 35,083 = 35,083 : x
2. Step 2: Convert to fraction form
   23,414/35,083 = 35,083/x
3. Step 3: Cross multiply
   23,414x = 35,083 × 35,083
4. Step 4: Simplify right side
   23,414x = 1,230,816,889
5. Step 5: Solve for x
   x = 1,230,816,889/23,414
6. Step 6: Final answer
   x = 52,567.56