Finding the Third Proportional to 32,001.75 and 69,288.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,001.75 : 69,288.75 = 69,288.75 : x
2. Step 2: Convert to fraction form
   32,001.75/69,288.75 = 69,288.75/x
3. Step 3: Cross multiply
   32,001.75x = 69,288.75 × 69,288.75
4. Step 4: Simplify right side
   32,001.75x = 4,800,930,876.56
5. Step 5: Solve for x
   x = 4,800,930,876.56/32,001.75
6. Step 6: Final answer
   x = 150,020.89