Finding the Third Proportional to 32,382 and 69,732

Step by Step Solution

1. Step 1: Write the proportion equation
   32,382 : 69,732 = 69,732 : x
2. Step 2: Convert to fraction form
   32,382/69,732 = 69,732/x
3. Step 3: Cross multiply
   32,382x = 69,732 × 69,732
4. Step 4: Simplify right side
   32,382x = 4,862,551,824
5. Step 5: Solve for x
   x = 4,862,551,824/32,382
6. Step 6: Final answer
   x = 150,162.18