Finding the Third Proportional to 32,778 and 70,236

Step by Step Solution

1. Step 1: Write the proportion equation
   32,778 : 70,236 = 70,236 : x
2. Step 2: Convert to fraction form
   32,778/70,236 = 70,236/x
3. Step 3: Cross multiply
   32,778x = 70,236 × 70,236
4. Step 4: Simplify right side
   32,778x = 4,933,095,696
5. Step 5: Solve for x
   x = 4,933,095,696/32,778
6. Step 6: Final answer
   x = 150,500.20