Finding the Third Proportional to 33,982.50 and 49,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,982.50 : 49,972.50 = 49,972.50 : x
2. Step 2: Convert to fraction form
   33,982.50/49,972.50 = 49,972.50/x
3. Step 3: Cross multiply
   33,982.50x = 49,972.50 × 49,972.50
4. Step 4: Simplify right side
   33,982.50x = 2,497,250,756.25
5. Step 5: Solve for x
   x = 2,497,250,756.25/33,982.50
6. Step 6: Final answer
   x = 73,486.38