Finding the Third Proportional to 32,762 and 70,198

Step by Step Solution

1. Step 1: Write the proportion equation
   32,762 : 70,198 = 70,198 : x
2. Step 2: Convert to fraction form
   32,762/70,198 = 70,198/x
3. Step 3: Cross multiply
   32,762x = 70,198 × 70,198
4. Step 4: Simplify right side
   32,762x = 4,927,759,204
5. Step 5: Solve for x
   x = 4,927,759,204/32,762
6. Step 6: Final answer
   x = 150,410.82