Finding the Third Proportional to 32,182 and 69,864

Step by Step Solution

1. Step 1: Write the proportion equation
   32,182 : 69,864 = 69,864 : x
2. Step 2: Convert to fraction form
   32,182/69,864 = 69,864/x
3. Step 3: Cross multiply
   32,182x = 69,864 × 69,864
4. Step 4: Simplify right side
   32,182x = 4,880,978,496
5. Step 5: Solve for x
   x = 4,880,978,496/32,182
6. Step 6: Final answer
   x = 151,667.97