Finding the Third Proportional to 33,507 and 50,224.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,507 : 50,224.50 = 50,224.50 : x
2. Step 2: Convert to fraction form
   33,507/50,224.50 = 50,224.50/x
3. Step 3: Cross multiply
   33,507x = 50,224.50 × 50,224.50
4. Step 4: Simplify right side
   33,507x = 2,522,500,400.25
5. Step 5: Solve for x
   x = 2,522,500,400.25/33,507
6. Step 6: Final answer
   x = 75,282.79