Finding the Third Proportional to 6,111 and 13,197

Step by Step Solution

1. Step 1: Write the proportion equation
   6,111 : 13,197 = 13,197 : x
2. Step 2: Convert to fraction form
   6,111/13,197 = 13,197/x
3. Step 3: Cross multiply
   6,111x = 13,197 × 13,197
4. Step 4: Simplify right side
   6,111x = 174,160,809
5. Step 5: Solve for x
   x = 174,160,809/6,111
6. Step 6: Final answer
   x = 28,499.56