Finding the Third Proportional to 10,186 and 13,254

Step by Step Solution

1. Step 1: Write the proportion equation
   10,186 : 13,254 = 13,254 : x
2. Step 2: Convert to fraction form
   10,186/13,254 = 13,254/x
3. Step 3: Cross multiply
   10,186x = 13,254 × 13,254
4. Step 4: Simplify right side
   10,186x = 175,668,516
5. Step 5: Solve for x
   x = 175,668,516/10,186
6. Step 6: Final answer
   x = 17,246.07