Finding the Third Proportional to 23,746 and 33,414

Step by Step Solution

1. Step 1: Write the proportion equation
   23,746 : 33,414 = 33,414 : x
2. Step 2: Convert to fraction form
   23,746/33,414 = 33,414/x
3. Step 3: Cross multiply
   23,746x = 33,414 × 33,414
4. Step 4: Simplify right side
   23,746x = 1,116,495,396
5. Step 5: Solve for x
   x = 1,116,495,396/23,746
6. Step 6: Final answer
   x = 47,018.25