Finding the Third Proportional to 9,146 and 13,143

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146 : 13,143 = 13,143 : x
2. Step 2: Convert to fraction form
   9,146/13,143 = 13,143/x
3. Step 3: Cross multiply
   9,146x = 13,143 × 13,143
4. Step 4: Simplify right side
   9,146x = 172,738,449
5. Step 5: Solve for x
   x = 172,738,449/9,146
6. Step 6: Final answer
   x = 18,886.78