Finding the Third Proportional to 10,753.50 and 11,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,753.50 : 11,833.50 = 11,833.50 : x
2. Step 2: Convert to fraction form
   10,753.50/11,833.50 = 11,833.50/x
3. Step 3: Cross multiply
   10,753.50x = 11,833.50 × 11,833.50
4. Step 4: Simplify right side
   10,753.50x = 140,031,722.25
5. Step 5: Solve for x
   x = 140,031,722.25/10,753.50
6. Step 6: Final answer
   x = 13,021.97