Finding the Third Proportional to 10,186 and 18,140

Step by Step Solution

1. Step 1: Write the proportion equation
   10,186 : 18,140 = 18,140 : x
2. Step 2: Convert to fraction form
   10,186/18,140 = 18,140/x
3. Step 3: Cross multiply
   10,186x = 18,140 × 18,140
4. Step 4: Simplify right side
   10,186x = 329,059,600
5. Step 5: Solve for x
   x = 329,059,600/10,186
6. Step 6: Final answer
   x = 32,305.09