Finding the Third Proportional to 6,906.38 and 10,077.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.38 : 10,077.75 = 10,077.75 : x
2. Step 2: Convert to fraction form
   6,906.38/10,077.75 = 10,077.75/x
3. Step 3: Cross multiply
   6,906.38x = 10,077.75 × 10,077.75
4. Step 4: Simplify right side
   6,906.38x = 101,561,045.06
5. Step 5: Solve for x
   x = 101,561,045.06/6,906.38
6. Step 6: Final answer
   x = 14,705.41