Finding the Third Proportional to 23,735 and 34,378

Step by Step Solution

1. Step 1: Write the proportion equation
   23,735 : 34,378 = 34,378 : x
2. Step 2: Convert to fraction form
   23,735/34,378 = 34,378/x
3. Step 3: Cross multiply
   23,735x = 34,378 × 34,378
4. Step 4: Simplify right side
   23,735x = 1,181,846,884
5. Step 5: Solve for x
   x = 1,181,846,884/23,735
6. Step 6: Final answer
   x = 49,793.42