Finding the Third Proportional to 33,074 and 78,059

Step by Step Solution

1. Step 1: Write the proportion equation
   33,074 : 78,059 = 78,059 : x
2. Step 2: Convert to fraction form
   33,074/78,059 = 78,059/x
3. Step 3: Cross multiply
   33,074x = 78,059 × 78,059
4. Step 4: Simplify right side
   33,074x = 6,093,207,481
5. Step 5: Solve for x
   x = 6,093,207,481/33,074
6. Step 6: Final answer
   x = 184,229.53