Finding the Third Proportional to 14,122 and 32,834

Step by Step Solution

1. Step 1: Write the proportion equation
   14,122 : 32,834 = 32,834 : x
2. Step 2: Convert to fraction form
   14,122/32,834 = 32,834/x
3. Step 3: Cross multiply
   14,122x = 32,834 × 32,834
4. Step 4: Simplify right side
   14,122x = 1,078,071,556
5. Step 5: Solve for x
   x = 1,078,071,556/14,122
6. Step 6: Final answer
   x = 76,339.86