Finding the Third Proportional to 6,782 and 10,158

Step by Step Solution

1. Step 1: Write the proportion equation
   6,782 : 10,158 = 10,158 : x
2. Step 2: Convert to fraction form
   6,782/10,158 = 10,158/x
3. Step 3: Cross multiply
   6,782x = 10,158 × 10,158
4. Step 4: Simplify right side
   6,782x = 103,184,964
5. Step 5: Solve for x
   x = 103,184,964/6,782
6. Step 6: Final answer
   x = 15,214.53