Finding the Third Proportional to 10,210 and 18,086

Step by Step Solution

1. Step 1: Write the proportion equation
   10,210 : 18,086 = 18,086 : x
2. Step 2: Convert to fraction form
   10,210/18,086 = 18,086/x
3. Step 3: Cross multiply
   10,210x = 18,086 × 18,086
4. Step 4: Simplify right side
   10,210x = 327,103,396
5. Step 5: Solve for x
   x = 327,103,396/10,210
6. Step 6: Final answer
   x = 32,037.55