Finding the Third Proportional to 13,774 and 30,143

Step by Step Solution

1. Step 1: Write the proportion equation
   13,774 : 30,143 = 30,143 : x
2. Step 2: Convert to fraction form
   13,774/30,143 = 30,143/x
3. Step 3: Cross multiply
   13,774x = 30,143 × 30,143
4. Step 4: Simplify right side
   13,774x = 908,600,449
5. Step 5: Solve for x
   x = 908,600,449/13,774
6. Step 6: Final answer
   x = 65,964.89