Finding the Third Proportional to 6,790 and 10,178

Step by Step Solution

1. Step 1: Write the proportion equation
   6,790 : 10,178 = 10,178 : x
2. Step 2: Convert to fraction form
   6,790/10,178 = 10,178/x
3. Step 3: Cross multiply
   6,790x = 10,178 × 10,178
4. Step 4: Simplify right side
   6,790x = 103,591,684
5. Step 5: Solve for x
   x = 103,591,684/6,790
6. Step 6: Final answer
   x = 15,256.51