Finding the Third Proportional to 33,106 and 72,756

Step by Step Solution

1. Step 1: Write the proportion equation
   33,106 : 72,756 = 72,756 : x
2. Step 2: Convert to fraction form
   33,106/72,756 = 72,756/x
3. Step 3: Cross multiply
   33,106x = 72,756 × 72,756
4. Step 4: Simplify right side
   33,106x = 5,293,435,536
5. Step 5: Solve for x
   x = 5,293,435,536/33,106
6. Step 6: Final answer
   x = 159,893.54