Finding the Third Proportional to 14,834 and 32,096

Step by Step Solution

1. Step 1: Write the proportion equation
   14,834 : 32,096 = 32,096 : x
2. Step 2: Convert to fraction form
   14,834/32,096 = 32,096/x
3. Step 3: Cross multiply
   14,834x = 32,096 × 32,096
4. Step 4: Simplify right side
   14,834x = 1,030,153,216
5. Step 5: Solve for x
   x = 1,030,153,216/14,834
6. Step 6: Final answer
   x = 69,445.41