Finding the Third Proportional to 32,096 and 49,400

Step by Step Solution

1. Step 1: Write the proportion equation
   32,096 : 49,400 = 49,400 : x
2. Step 2: Convert to fraction form
   32,096/49,400 = 49,400/x
3. Step 3: Cross multiply
   32,096x = 49,400 × 49,400
4. Step 4: Simplify right side
   32,096x = 2,440,360,000
5. Step 5: Solve for x
   x = 2,440,360,000/32,096
6. Step 6: Final answer
   x = 76,033.15