Finding the Third Proportional to 10,077.75 and 15,383.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.75 : 15,383.25 = 15,383.25 : x
2. Step 2: Convert to fraction form
   10,077.75/15,383.25 = 15,383.25/x
3. Step 3: Cross multiply
   10,077.75x = 15,383.25 × 15,383.25
4. Step 4: Simplify right side
   10,077.75x = 236,644,380.56
5. Step 5: Solve for x
   x = 236,644,380.56/10,077.75
6. Step 6: Final answer
   x = 23,481.87