Finding the Third Proportional to 33,679 and 49,038

Step by Step Solution

1. Step 1: Write the proportion equation
   33,679 : 49,038 = 49,038 : x
2. Step 2: Convert to fraction form
   33,679/49,038 = 49,038/x
3. Step 3: Cross multiply
   33,679x = 49,038 × 49,038
4. Step 4: Simplify right side
   33,679x = 2,404,725,444
5. Step 5: Solve for x
   x = 2,404,725,444/33,679
6. Step 6: Final answer
   x = 71,401.33