Finding the Third Proportional to 6,191 and 12,892

Step by Step Solution

1. Step 1: Write the proportion equation
   6,191 : 12,892 = 12,892 : x
2. Step 2: Convert to fraction form
   6,191/12,892 = 12,892/x
3. Step 3: Cross multiply
   6,191x = 12,892 × 12,892
4. Step 4: Simplify right side
   6,191x = 166,203,664
5. Step 5: Solve for x
   x = 166,203,664/6,191
6. Step 6: Final answer
   x = 26,846.01