Finding the Third Proportional to 33,378 and 72,910

Step by Step Solution

1. Step 1: Write the proportion equation
   33,378 : 72,910 = 72,910 : x
2. Step 2: Convert to fraction form
   33,378/72,910 = 72,910/x
3. Step 3: Cross multiply
   33,378x = 72,910 × 72,910
4. Step 4: Simplify right side
   33,378x = 5,315,868,100
5. Step 5: Solve for x
   x = 5,315,868,100/33,378
6. Step 6: Final answer
   x = 159,262.63