Finding the Third Proportional to 13,780 and 30,020

Step by Step Solution

1. Step 1: Write the proportion equation
   13,780 : 30,020 = 30,020 : x
2. Step 2: Convert to fraction form
   13,780/30,020 = 30,020/x
3. Step 3: Cross multiply
   13,780x = 30,020 × 30,020
4. Step 4: Simplify right side
   13,780x = 901,200,400
5. Step 5: Solve for x
   x = 901,200,400/13,780
6. Step 6: Final answer
   x = 65,399.16