Finding the Third Proportional to 32,764 and 70,204

Step by Step Solution

1. Step 1: Write the proportion equation
   32,764 : 70,204 = 70,204 : x
2. Step 2: Convert to fraction form
   32,764/70,204 = 70,204/x
3. Step 3: Cross multiply
   32,764x = 70,204 × 70,204
4. Step 4: Simplify right side
   32,764x = 4,928,601,616
5. Step 5: Solve for x
   x = 4,928,601,616/32,764
6. Step 6: Final answer
   x = 150,427.35