Finding the Third Proportional to 33,626 and 52,034

Step by Step Solution

1. Step 1: Write the proportion equation
   33,626 : 52,034 = 52,034 : x
2. Step 2: Convert to fraction form
   33,626/52,034 = 52,034/x
3. Step 3: Cross multiply
   33,626x = 52,034 × 52,034
4. Step 4: Simplify right side
   33,626x = 2,707,537,156
5. Step 5: Solve for x
   x = 2,707,537,156/33,626
6. Step 6: Final answer
   x = 80,519.16