Finding the Third Proportional to 13,782 and 30,200

Step by Step Solution

1. Step 1: Write the proportion equation
   13,782 : 30,200 = 30,200 : x
2. Step 2: Convert to fraction form
   13,782/30,200 = 30,200/x
3. Step 3: Cross multiply
   13,782x = 30,200 × 30,200
4. Step 4: Simplify right side
   13,782x = 912,040,000
5. Step 5: Solve for x
   x = 912,040,000/13,782
6. Step 6: Final answer
   x = 66,176.17