Finding the Third Proportional to 33,905 and 50,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,905 : 50,166.50 = 50,166.50 : x
2. Step 2: Convert to fraction form
   33,905/50,166.50 = 50,166.50/x
3. Step 3: Cross multiply
   33,905x = 50,166.50 × 50,166.50
4. Step 4: Simplify right side
   33,905x = 2,516,677,722.25
5. Step 5: Solve for x
   x = 2,516,677,722.25/33,905
6. Step 6: Final answer
   x = 74,227.33