Finding the Third Proportional to 33,836 and 72,659

Step by Step Solution

1. Step 1: Write the proportion equation
   33,836 : 72,659 = 72,659 : x
2. Step 2: Convert to fraction form
   33,836/72,659 = 72,659/x
3. Step 3: Cross multiply
   33,836x = 72,659 × 72,659
4. Step 4: Simplify right side
   33,836x = 5,279,330,281
5. Step 5: Solve for x
   x = 5,279,330,281/33,836
6. Step 6: Final answer
   x = 156,027.02