Finding the Third Proportional to 4,986 and 7,820

Step by Step Solution

1. Step 1: Write the proportion equation
   4,986 : 7,820 = 7,820 : x
2. Step 2: Convert to fraction form
   4,986/7,820 = 7,820/x
3. Step 3: Cross multiply
   4,986x = 7,820 × 7,820
4. Step 4: Simplify right side
   4,986x = 61,152,400
5. Step 5: Solve for x
   x = 61,152,400/4,986
6. Step 6: Final answer
   x = 12,264.82