Finding the Third Proportional to 5,853 and 7,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,853 : 7,945.50 = 7,945.50 : x
2. Step 2: Convert to fraction form
   5,853/7,945.50 = 7,945.50/x
3. Step 3: Cross multiply
   5,853x = 7,945.50 × 7,945.50
4. Step 4: Simplify right side
   5,853x = 63,130,970.25
5. Step 5: Solve for x
   x = 63,130,970.25/5,853
6. Step 6: Final answer
   x = 10,786.09