Finding the Third Proportional to 32,288 and 69,673

Step by Step Solution

1. Step 1: Write the proportion equation
   32,288 : 69,673 = 69,673 : x
2. Step 2: Convert to fraction form
   32,288/69,673 = 69,673/x
3. Step 3: Cross multiply
   32,288x = 69,673 × 69,673
4. Step 4: Simplify right side
   32,288x = 4,854,326,929
5. Step 5: Solve for x
   x = 4,854,326,929/32,288
6. Step 6: Final answer
   x = 150,344.61