Finding the Third Proportional to 6,870 and 8,118

Step by Step Solution

1. Step 1: Write the proportion equation
   6,870 : 8,118 = 8,118 : x
2. Step 2: Convert to fraction form
   6,870/8,118 = 8,118/x
3. Step 3: Cross multiply
   6,870x = 8,118 × 8,118
4. Step 4: Simplify right side
   6,870x = 65,901,924
5. Step 5: Solve for x
   x = 65,901,924/6,870
6. Step 6: Final answer
   x = 9,592.71