Finding the Third Proportional to 32,321 and 50,223

Step by Step Solution

1. Step 1: Write the proportion equation
   32,321 : 50,223 = 50,223 : x
2. Step 2: Convert to fraction form
   32,321/50,223 = 50,223/x
3. Step 3: Cross multiply
   32,321x = 50,223 × 50,223
4. Step 4: Simplify right side
   32,321x = 2,522,349,729
5. Step 5: Solve for x
   x = 2,522,349,729/32,321
6. Step 6: Final answer
   x = 78,040.58