Finding the Third Proportional to 38,828 and 58,182

Step by Step Solution

1. Step 1: Write the proportion equation
   38,828 : 58,182 = 58,182 : x
2. Step 2: Convert to fraction form
   38,828/58,182 = 58,182/x
3. Step 3: Cross multiply
   38,828x = 58,182 × 58,182
4. Step 4: Simplify right side
   38,828x = 3,385,145,124
5. Step 5: Solve for x
   x = 3,385,145,124/38,828
6. Step 6: Final answer
   x = 87,183.09