Finding the Third Proportional to 36,684 and 52,470

Step by Step Solution

1. Step 1: Write the proportion equation
   36,684 : 52,470 = 52,470 : x
2. Step 2: Convert to fraction form
   36,684/52,470 = 52,470/x
3. Step 3: Cross multiply
   36,684x = 52,470 × 52,470
4. Step 4: Simplify right side
   36,684x = 2,753,100,900
5. Step 5: Solve for x
   x = 2,753,100,900/36,684
6. Step 6: Final answer
   x = 75,049.09