Finding the Third Proportional to 10,077.75 and 10,833.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.75 : 10,833.75 = 10,833.75 : x
2. Step 2: Convert to fraction form
   10,077.75/10,833.75 = 10,833.75/x
3. Step 3: Cross multiply
   10,077.75x = 10,833.75 × 10,833.75
4. Step 4: Simplify right side
   10,077.75x = 117,370,139.06
5. Step 5: Solve for x
   x = 117,370,139.06/10,077.75
6. Step 6: Final answer
   x = 11,646.46