Finding the Third Proportional to 30,519 and 65,898

Step by Step Solution

1. Step 1: Write the proportion equation
   30,519 : 65,898 = 65,898 : x
2. Step 2: Convert to fraction form
   30,519/65,898 = 65,898/x
3. Step 3: Cross multiply
   30,519x = 65,898 × 65,898
4. Step 4: Simplify right side
   30,519x = 4,342,546,404
5. Step 5: Solve for x
   x = 4,342,546,404/30,519
6. Step 6: Final answer
   x = 142,289.93