Finding the Third Proportional to 20,864 and 32,274

Step by Step Solution

1. Step 1: Write the proportion equation
   20,864 : 32,274 = 32,274 : x
2. Step 2: Convert to fraction form
   20,864/32,274 = 32,274/x
3. Step 3: Cross multiply
   20,864x = 32,274 × 32,274
4. Step 4: Simplify right side
   20,864x = 1,041,611,076
5. Step 5: Solve for x
   x = 1,041,611,076/20,864
6. Step 6: Final answer
   x = 49,923.84