Finding the Third Proportional to 6,186 and 7,002

Step by Step Solution

1. Step 1: Write the proportion equation
   6,186 : 7,002 = 7,002 : x
2. Step 2: Convert to fraction form
   6,186/7,002 = 7,002/x
3. Step 3: Cross multiply
   6,186x = 7,002 × 7,002
4. Step 4: Simplify right side
   6,186x = 49,028,004
5. Step 5: Solve for x
   x = 49,028,004/6,186
6. Step 6: Final answer
   x = 7,925.64