Finding the Third Proportional to 32,096 and 66,760

Step by Step Solution

1. Step 1: Write the proportion equation
   32,096 : 66,760 = 66,760 : x
2. Step 2: Convert to fraction form
   32,096/66,760 = 66,760/x
3. Step 3: Cross multiply
   32,096x = 66,760 × 66,760
4. Step 4: Simplify right side
   32,096x = 4,456,897,600
5. Step 5: Solve for x
   x = 4,456,897,600/32,096
6. Step 6: Final answer
   x = 138,861.47