Finding the Third Proportional to 32,282 and 69,664

Step by Step Solution

1. Step 1: Write the proportion equation
   32,282 : 69,664 = 69,664 : x
2. Step 2: Convert to fraction form
   32,282/69,664 = 69,664/x
3. Step 3: Cross multiply
   32,282x = 69,664 × 69,664
4. Step 4: Simplify right side
   32,282x = 4,853,072,896
5. Step 5: Solve for x
   x = 4,853,072,896/32,282
6. Step 6: Final answer
   x = 150,333.71