Finding the Third Proportional to 6,300 and 7,986

Step by Step Solution

1. Step 1: Write the proportion equation
   6,300 : 7,986 = 7,986 : x
2. Step 2: Convert to fraction form
   6,300/7,986 = 7,986/x
3. Step 3: Cross multiply
   6,300x = 7,986 × 7,986
4. Step 4: Simplify right side
   6,300x = 63,776,196
5. Step 5: Solve for x
   x = 63,776,196/6,300
6. Step 6: Final answer
   x = 10,123.21