Finding the Third Proportional to 32,338 and 70,686

Step by Step Solution

1. Step 1: Write the proportion equation
   32,338 : 70,686 = 70,686 : x
2. Step 2: Convert to fraction form
   32,338/70,686 = 70,686/x
3. Step 3: Cross multiply
   32,338x = 70,686 × 70,686
4. Step 4: Simplify right side
   32,338x = 4,996,510,596
5. Step 5: Solve for x
   x = 4,996,510,596/32,338
6. Step 6: Final answer
   x = 154,508.96