Finding the Third Proportional to 13,747 and 30,642

Step by Step Solution

1. Step 1: Write the proportion equation
   13,747 : 30,642 = 30,642 : x
2. Step 2: Convert to fraction form
   13,747/30,642 = 30,642/x
3. Step 3: Cross multiply
   13,747x = 30,642 × 30,642
4. Step 4: Simplify right side
   13,747x = 938,932,164
5. Step 5: Solve for x
   x = 938,932,164/13,747
6. Step 6: Final answer
   x = 68,300.88