Finding the Third Proportional to 9,189 and 13,141

Step by Step Solution

1. Step 1: Write the proportion equation
   9,189 : 13,141 = 13,141 : x
2. Step 2: Convert to fraction form
   9,189/13,141 = 13,141/x
3. Step 3: Cross multiply
   9,189x = 13,141 × 13,141
4. Step 4: Simplify right side
   9,189x = 172,685,881
5. Step 5: Solve for x
   x = 172,685,881/9,189
6. Step 6: Final answer
   x = 18,792.67