Finding the Third Proportional to 13,782 and 30,022

Step by Step Solution

1. Step 1: Write the proportion equation
   13,782 : 30,022 = 30,022 : x
2. Step 2: Convert to fraction form
   13,782/30,022 = 30,022/x
3. Step 3: Cross multiply
   13,782x = 30,022 × 30,022
4. Step 4: Simplify right side
   13,782x = 901,320,484
5. Step 5: Solve for x
   x = 901,320,484/13,782
6. Step 6: Final answer
   x = 65,398.38