Finding the Third Proportional to 6,837.75 and 13,773.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,837.75 : 13,773.38 = 13,773.38 : x
2. Step 2: Convert to fraction form
   6,837.75/13,773.38 = 13,773.38/x
3. Step 3: Cross multiply
   6,837.75x = 13,773.38 × 13,773.38
4. Step 4: Simplify right side
   6,837.75x = 189,705,858.89
5. Step 5: Solve for x
   x = 189,705,858.89/6,837.75
6. Step 6: Final answer
   x = 27,743.90