Finding the Third Proportional to 32,996 and 69,705

Step by Step Solution

1. Step 1: Write the proportion equation
   32,996 : 69,705 = 69,705 : x
2. Step 2: Convert to fraction form
   32,996/69,705 = 69,705/x
3. Step 3: Cross multiply
   32,996x = 69,705 × 69,705
4. Step 4: Simplify right side
   32,996x = 4,858,787,025
5. Step 5: Solve for x
   x = 4,858,787,025/32,996
6. Step 6: Final answer
   x = 147,253.82