Finding the Third Proportional to 33,128 and 72,205

Step by Step Solution

1. Step 1: Write the proportion equation
   33,128 : 72,205 = 72,205 : x
2. Step 2: Convert to fraction form
   33,128/72,205 = 72,205/x
3. Step 3: Cross multiply
   33,128x = 72,205 × 72,205
4. Step 4: Simplify right side
   33,128x = 5,213,562,025
5. Step 5: Solve for x
   x = 5,213,562,025/33,128
6. Step 6: Final answer
   x = 157,376.30