Finding the Third Proportional to 6,424 and 13,916

Step by Step Solution

1. Step 1: Write the proportion equation
   6,424 : 13,916 = 13,916 : x
2. Step 2: Convert to fraction form
   6,424/13,916 = 13,916/x
3. Step 3: Cross multiply
   6,424x = 13,916 × 13,916
4. Step 4: Simplify right side
   6,424x = 193,655,056
5. Step 5: Solve for x
   x = 193,655,056/6,424
6. Step 6: Final answer
   x = 30,145.56