Finding the Third Proportional to 6,378 and 13,985

Step by Step Solution

1. Step 1: Write the proportion equation
   6,378 : 13,985 = 13,985 : x
2. Step 2: Convert to fraction form
   6,378/13,985 = 13,985/x
3. Step 3: Cross multiply
   6,378x = 13,985 × 13,985
4. Step 4: Simplify right side
   6,378x = 195,580,225
5. Step 5: Solve for x
   x = 195,580,225/6,378
6. Step 6: Final answer
   x = 30,664.82