Finding the Third Proportional to 20,834 and 32,266

Step by Step Solution

1. Step 1: Write the proportion equation
   20,834 : 32,266 = 32,266 : x
2. Step 2: Convert to fraction form
   20,834/32,266 = 32,266/x
3. Step 3: Cross multiply
   20,834x = 32,266 × 32,266
4. Step 4: Simplify right side
   20,834x = 1,041,094,756
5. Step 5: Solve for x
   x = 1,041,094,756/20,834
6. Step 6: Final answer
   x = 49,970.95