Finding the Third Proportional to 32,327 and 50,172

Step by Step Solution

1. Step 1: Write the proportion equation
   32,327 : 50,172 = 50,172 : x
2. Step 2: Convert to fraction form
   32,327/50,172 = 50,172/x
3. Step 3: Cross multiply
   32,327x = 50,172 × 50,172
4. Step 4: Simplify right side
   32,327x = 2,517,229,584
5. Step 5: Solve for x
   x = 2,517,229,584/32,327
6. Step 6: Final answer
   x = 77,867.71