Finding the Third Proportional to 32,335 and 70,682

Step by Step Solution

1. Step 1: Write the proportion equation
   32,335 : 70,682 = 70,682 : x
2. Step 2: Convert to fraction form
   32,335/70,682 = 70,682/x
3. Step 3: Cross multiply
   32,335x = 70,682 × 70,682
4. Step 4: Simplify right side
   32,335x = 4,995,945,124
5. Step 5: Solve for x
   x = 4,995,945,124/32,335
6. Step 6: Final answer
   x = 154,505.80