Finding the Third Proportional to 33,591 and 49,918.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,591 : 49,918.50 = 49,918.50 : x
2. Step 2: Convert to fraction form
   33,591/49,918.50 = 49,918.50/x
3. Step 3: Cross multiply
   33,591x = 49,918.50 × 49,918.50
4. Step 4: Simplify right side
   33,591x = 2,491,856,642.25
5. Step 5: Solve for x
   x = 2,491,856,642.25/33,591
6. Step 6: Final answer
   x = 74,182.27