Finding the Third Proportional to 9,140 and 12,386

Step by Step Solution

1. Step 1: Write the proportion equation
   9,140 : 12,386 = 12,386 : x
2. Step 2: Convert to fraction form
   9,140/12,386 = 12,386/x
3. Step 3: Cross multiply
   9,140x = 12,386 × 12,386
4. Step 4: Simplify right side
   9,140x = 153,412,996
5. Step 5: Solve for x
   x = 153,412,996/9,140
6. Step 6: Final answer
   x = 16,784.79