Finding the Third Proportional to 20,834 and 32,167

Step by Step Solution

1. Step 1: Write the proportion equation
   20,834 : 32,167 = 32,167 : x
2. Step 2: Convert to fraction form
   20,834/32,167 = 32,167/x
3. Step 3: Cross multiply
   20,834x = 32,167 × 32,167
4. Step 4: Simplify right side
   20,834x = 1,034,715,889
5. Step 5: Solve for x
   x = 1,034,715,889/20,834
6. Step 6: Final answer
   x = 49,664.77