Finding the Third Proportional to 6,837.75 and 10,105.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,837.75 : 10,105.88 = 10,105.88 : x
2. Step 2: Convert to fraction form
   6,837.75/10,105.88 = 10,105.88/x
3. Step 3: Cross multiply
   6,837.75x = 10,105.88 × 10,105.88
4. Step 4: Simplify right side
   6,837.75x = 102,128,709.52
5. Step 5: Solve for x
   x = 102,128,709.52/6,837.75
6. Step 6: Final answer
   x = 14,936.01