Finding the Third Proportional to 32,766 and 70,208

Step by Step Solution

1. Step 1: Write the proportion equation
   32,766 : 70,208 = 70,208 : x
2. Step 2: Convert to fraction form
   32,766/70,208 = 70,208/x
3. Step 3: Cross multiply
   32,766x = 70,208 × 70,208
4. Step 4: Simplify right side
   32,766x = 4,929,163,264
5. Step 5: Solve for x
   x = 4,929,163,264/32,766
6. Step 6: Final answer
   x = 150,435.31