Finding the Third Proportional to 6,518 and 7,118

Step by Step Solution

1. Step 1: Write the proportion equation
   6,518 : 7,118 = 7,118 : x
2. Step 2: Convert to fraction form
   6,518/7,118 = 7,118/x
3. Step 3: Cross multiply
   6,518x = 7,118 × 7,118
4. Step 4: Simplify right side
   6,518x = 50,665,924
5. Step 5: Solve for x
   x = 50,665,924/6,518
6. Step 6: Final answer
   x = 7,773.23