Finding the Third Proportional to 6,788 and 13,732

Step by Step Solution

1. Step 1: Write the proportion equation
   6,788 : 13,732 = 13,732 : x
2. Step 2: Convert to fraction form
   6,788/13,732 = 13,732/x
3. Step 3: Cross multiply
   6,788x = 13,732 × 13,732
4. Step 4: Simplify right side
   6,788x = 188,567,824
5. Step 5: Solve for x
   x = 188,567,824/6,788
6. Step 6: Final answer
   x = 27,779.59