Finding the Third Proportional to 32,788 and 70,355

Step by Step Solution

1. Step 1: Write the proportion equation
   32,788 : 70,355 = 70,355 : x
2. Step 2: Convert to fraction form
   32,788/70,355 = 70,355/x
3. Step 3: Cross multiply
   32,788x = 70,355 × 70,355
4. Step 4: Simplify right side
   32,788x = 4,949,826,025
5. Step 5: Solve for x
   x = 4,949,826,025/32,788
6. Step 6: Final answer
   x = 150,964.56