Finding the Third Proportional to 33,826 and 72,346

Step by Step Solution

1. Step 1: Write the proportion equation
   33,826 : 72,346 = 72,346 : x
2. Step 2: Convert to fraction form
   33,826/72,346 = 72,346/x
3. Step 3: Cross multiply
   33,826x = 72,346 × 72,346
4. Step 4: Simplify right side
   33,826x = 5,233,943,716
5. Step 5: Solve for x
   x = 5,233,943,716/33,826
6. Step 6: Final answer
   x = 154,731.38