Finding the Third Proportional to 6,380 and 13,810

Step by Step Solution

1. Step 1: Write the proportion equation
   6,380 : 13,810 = 13,810 : x
2. Step 2: Convert to fraction form
   6,380/13,810 = 13,810/x
3. Step 3: Cross multiply
   6,380x = 13,810 × 13,810
4. Step 4: Simplify right side
   6,380x = 190,716,100
5. Step 5: Solve for x
   x = 190,716,100/6,380
6. Step 6: Final answer
   x = 29,892.81