Finding the Third Proportional to 33,939 and 49,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,939 : 49,369.50 = 49,369.50 : x
2. Step 2: Convert to fraction form
   33,939/49,369.50 = 49,369.50/x
3. Step 3: Cross multiply
   33,939x = 49,369.50 × 49,369.50
4. Step 4: Simplify right side
   33,939x = 2,437,347,530.25
5. Step 5: Solve for x
   x = 2,437,347,530.25/33,939
6. Step 6: Final answer
   x = 71,815.54