Finding the Third Proportional to 9,105.75 and 10,077.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.75 : 10,077.75 = 10,077.75 : x
2. Step 2: Convert to fraction form
   9,105.75/10,077.75 = 10,077.75/x
3. Step 3: Cross multiply
   9,105.75x = 10,077.75 × 10,077.75
4. Step 4: Simplify right side
   9,105.75x = 101,561,045.06
5. Step 5: Solve for x
   x = 101,561,045.06/9,105.75
6. Step 6: Final answer
   x = 11,153.51