Finding the Third Proportional to 6,314 and 13,842

Step by Step Solution

1. Step 1: Write the proportion equation
   6,314 : 13,842 = 13,842 : x
2. Step 2: Convert to fraction form
   6,314/13,842 = 13,842/x
3. Step 3: Cross multiply
   6,314x = 13,842 × 13,842
4. Step 4: Simplify right side
   6,314x = 191,600,964
5. Step 5: Solve for x
   x = 191,600,964/6,314
6. Step 6: Final answer
   x = 30,345.42