Finding the Third Proportional to 19,182 and 30,537

Step by Step Solution

1. Step 1: Write the proportion equation
   19,182 : 30,537 = 30,537 : x
2. Step 2: Convert to fraction form
   19,182/30,537 = 30,537/x
3. Step 3: Cross multiply
   19,182x = 30,537 × 30,537
4. Step 4: Simplify right side
   19,182x = 932,508,369
5. Step 5: Solve for x
   x = 932,508,369/19,182
6. Step 6: Final answer
   x = 48,613.72