Finding the Third Proportional to 32,864 and 67,914

Step by Step Solution

1. Step 1: Write the proportion equation
   32,864 : 67,914 = 67,914 : x
2. Step 2: Convert to fraction form
   32,864/67,914 = 67,914/x
3. Step 3: Cross multiply
   32,864x = 67,914 × 67,914
4. Step 4: Simplify right side
   32,864x = 4,612,311,396
5. Step 5: Solve for x
   x = 4,612,311,396/32,864
6. Step 6: Final answer
   x = 140,345.41