Finding the Third Proportional to 9,111 and 13,194

Step by Step Solution

1. Step 1: Write the proportion equation
   9,111 : 13,194 = 13,194 : x
2. Step 2: Convert to fraction form
   9,111/13,194 = 13,194/x
3. Step 3: Cross multiply
   9,111x = 13,194 × 13,194
4. Step 4: Simplify right side
   9,111x = 174,081,636
5. Step 5: Solve for x
   x = 174,081,636/9,111
6. Step 6: Final answer
   x = 19,106.75