Finding the Third Proportional to 32,778 and 70,335

Step by Step Solution

1. Step 1: Write the proportion equation
   32,778 : 70,335 = 70,335 : x
2. Step 2: Convert to fraction form
   32,778/70,335 = 70,335/x
3. Step 3: Cross multiply
   32,778x = 70,335 × 70,335
4. Step 4: Simplify right side
   32,778x = 4,947,012,225
5. Step 5: Solve for x
   x = 4,947,012,225/32,778
6. Step 6: Final answer
   x = 150,924.77