Finding the Third Proportional to 33,826 and 72,343

Step by Step Solution

1. Step 1: Write the proportion equation
   33,826 : 72,343 = 72,343 : x
2. Step 2: Convert to fraction form
   33,826/72,343 = 72,343/x
3. Step 3: Cross multiply
   33,826x = 72,343 × 72,343
4. Step 4: Simplify right side
   33,826x = 5,233,509,649
5. Step 5: Solve for x
   x = 5,233,509,649/33,826
6. Step 6: Final answer
   x = 154,718.55