Finding the Third Proportional to 6,681 and 12,417

Step by Step Solution

1. Step 1: Write the proportion equation
   6,681 : 12,417 = 12,417 : x
2. Step 2: Convert to fraction form
   6,681/12,417 = 12,417/x
3. Step 3: Cross multiply
   6,681x = 12,417 × 12,417
4. Step 4: Simplify right side
   6,681x = 154,181,889
5. Step 5: Solve for x
   x = 154,181,889/6,681
6. Step 6: Final answer
   x = 23,077.67