Finding the Third Proportional to 32,098 and 67,112

Step by Step Solution

1. Step 1: Write the proportion equation
   32,098 : 67,112 = 67,112 : x
2. Step 2: Convert to fraction form
   32,098/67,112 = 67,112/x
3. Step 3: Cross multiply
   32,098x = 67,112 × 67,112
4. Step 4: Simplify right side
   32,098x = 4,504,020,544
5. Step 5: Solve for x
   x = 4,504,020,544/32,098
6. Step 6: Final answer
   x = 140,320.91