Finding the Third Proportional to 33,913.69 and 78,625.69

Step by Step Solution

1. Step 1: Write the proportion equation
   33,913.69 : 78,625.69 = 78,625.69 : x
2. Step 2: Convert to fraction form
   33,913.69/78,625.69 = 78,625.69/x
3. Step 3: Cross multiply
   33,913.69x = 78,625.69 × 78,625.69
4. Step 4: Simplify right side
   33,913.69x = 6,181,998,734.85
5. Step 5: Solve for x
   x = 6,181,998,734.85/33,913.69
6. Step 6: Final answer
   x = 182,286.24