Finding the Third Proportional to 32,382 and 70,767

Step by Step Solution

1. Step 1: Write the proportion equation
   32,382 : 70,767 = 70,767 : x
2. Step 2: Convert to fraction form
   32,382/70,767 = 70,767/x
3. Step 3: Cross multiply
   32,382x = 70,767 × 70,767
4. Step 4: Simplify right side
   32,382x = 5,007,968,289
5. Step 5: Solve for x
   x = 5,007,968,289/32,382
6. Step 6: Final answer
   x = 154,652.84