Finding the Third Proportional to 12,262 and 18,389

Step by Step Solution

1. Step 1: Write the proportion equation
   12,262 : 18,389 = 18,389 : x
2. Step 2: Convert to fraction form
   12,262/18,389 = 18,389/x
3. Step 3: Cross multiply
   12,262x = 18,389 × 18,389
4. Step 4: Simplify right side
   12,262x = 338,155,321
5. Step 5: Solve for x
   x = 338,155,321/12,262
6. Step 6: Final answer
   x = 27,577.50