Finding the Third Proportional to 33,682.50 and 49,041

Step by Step Solution

1. Step 1: Write the proportion equation
   33,682.50 : 49,041 = 49,041 : x
2. Step 2: Convert to fraction form
   33,682.50/49,041 = 49,041/x
3. Step 3: Cross multiply
   33,682.50x = 49,041 × 49,041
4. Step 4: Simplify right side
   33,682.50x = 2,405,019,681
5. Step 5: Solve for x
   x = 2,405,019,681/33,682.50
6. Step 6: Final answer
   x = 71,402.65