Finding the Third Proportional to 6,375.38 and 13,777.59

Step by Step Solution

1. Step 1: Write the proportion equation
   6,375.38 : 13,777.59 = 13,777.59 : x
2. Step 2: Convert to fraction form
   6,375.38/13,777.59 = 13,777.59/x
3. Step 3: Cross multiply
   6,375.38x = 13,777.59 × 13,777.59
4. Step 4: Simplify right side
   6,375.38x = 189,822,089.54
5. Step 5: Solve for x
   x = 189,822,089.54/6,375.38
6. Step 6: Final answer
   x = 29,774.26