Finding the Third Proportional to 6,307 and 13,705

Step by Step Solution

1. Step 1: Write the proportion equation
   6,307 : 13,705 = 13,705 : x
2. Step 2: Convert to fraction form
   6,307/13,705 = 13,705/x
3. Step 3: Cross multiply
   6,307x = 13,705 × 13,705
4. Step 4: Simplify right side
   6,307x = 187,827,025
5. Step 5: Solve for x
   x = 187,827,025/6,307
6. Step 6: Final answer
   x = 29,780.72