Finding the Third Proportional to 32,355 and 70,765

Step by Step Solution

1. Step 1: Write the proportion equation
   32,355 : 70,765 = 70,765 : x
2. Step 2: Convert to fraction form
   32,355/70,765 = 70,765/x
3. Step 3: Cross multiply
   32,355x = 70,765 × 70,765
4. Step 4: Simplify right side
   32,355x = 5,007,685,225
5. Step 5: Solve for x
   x = 5,007,685,225/32,355
6. Step 6: Final answer
   x = 154,773.15