Finding the Third Proportional to 34,182 and 52,470

Step by Step Solution

1. Step 1: Write the proportion equation
   34,182 : 52,470 = 52,470 : x
2. Step 2: Convert to fraction form
   34,182/52,470 = 52,470/x
3. Step 3: Cross multiply
   34,182x = 52,470 × 52,470
4. Step 4: Simplify right side
   34,182x = 2,753,100,900
5. Step 5: Solve for x
   x = 2,753,100,900/34,182
6. Step 6: Final answer
   x = 80,542.42