Finding the Third Proportional to 12,326 and 25,840

Step by Step Solution

1. Step 1: Write the proportion equation
   12,326 : 25,840 = 25,840 : x
2. Step 2: Convert to fraction form
   12,326/25,840 = 25,840/x
3. Step 3: Cross multiply
   12,326x = 25,840 × 25,840
4. Step 4: Simplify right side
   12,326x = 667,705,600
5. Step 5: Solve for x
   x = 667,705,600/12,326
6. Step 6: Final answer
   x = 54,170.50