Finding the Third Proportional to 6,196 and 12,904

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196 : 12,904 = 12,904 : x
2. Step 2: Convert to fraction form
   6,196/12,904 = 12,904/x
3. Step 3: Cross multiply
   6,196x = 12,904 × 12,904
4. Step 4: Simplify right side
   6,196x = 166,513,216
5. Step 5: Solve for x
   x = 166,513,216/6,196
6. Step 6: Final answer
   x = 26,874.31