Finding the Third Proportional to 32,364 and 69,227

Step by Step Solution

1. Step 1: Write the proportion equation
   32,364 : 69,227 = 69,227 : x
2. Step 2: Convert to fraction form
   32,364/69,227 = 69,227/x
3. Step 3: Cross multiply
   32,364x = 69,227 × 69,227
4. Step 4: Simplify right side
   32,364x = 4,792,377,529
5. Step 5: Solve for x
   x = 4,792,377,529/32,364
6. Step 6: Final answer
   x = 148,077.42