Finding the Third Proportional to 33,506 and 50,223

Step by Step Solution

1. Step 1: Write the proportion equation
   33,506 : 50,223 = 50,223 : x
2. Step 2: Convert to fraction form
   33,506/50,223 = 50,223/x
3. Step 3: Cross multiply
   33,506x = 50,223 × 50,223
4. Step 4: Simplify right side
   33,506x = 2,522,349,729
5. Step 5: Solve for x
   x = 2,522,349,729/33,506
6. Step 6: Final answer
   x = 75,280.54