Finding the Third Proportional to 32,327 and 49,672

Step by Step Solution

1. Step 1: Write the proportion equation
   32,327 : 49,672 = 49,672 : x
2. Step 2: Convert to fraction form
   32,327/49,672 = 49,672/x
3. Step 3: Cross multiply
   32,327x = 49,672 × 49,672
4. Step 4: Simplify right side
   32,327x = 2,467,307,584
5. Step 5: Solve for x
   x = 2,467,307,584/32,327
6. Step 6: Final answer
   x = 76,323.43