Finding the Third Proportional to 33,678.50 and 49,037

Step by Step Solution

1. Step 1: Write the proportion equation
   33,678.50 : 49,037 = 49,037 : x
2. Step 2: Convert to fraction form
   33,678.50/49,037 = 49,037/x
3. Step 3: Cross multiply
   33,678.50x = 49,037 × 49,037
4. Step 4: Simplify right side
   33,678.50x = 2,404,627,369
5. Step 5: Solve for x
   x = 2,404,627,369/33,678.50
6. Step 6: Final answer
   x = 71,399.48