Finding the Third Proportional to 32,032 and 69,472

Step by Step Solution

1. Step 1: Write the proportion equation
   32,032 : 69,472 = 69,472 : x
2. Step 2: Convert to fraction form
   32,032/69,472 = 69,472/x
3. Step 3: Cross multiply
   32,032x = 69,472 × 69,472
4. Step 4: Simplify right side
   32,032x = 4,826,358,784
5. Step 5: Solve for x
   x = 4,826,358,784/32,032
6. Step 6: Final answer
   x = 150,673.04