Finding the Third Proportional to 5,735.50 and 12,699.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,735.50 : 12,699.31 = 12,699.31 : x
2. Step 2: Convert to fraction form
   5,735.50/12,699.31 = 12,699.31/x
3. Step 3: Cross multiply
   5,735.50x = 12,699.31 × 12,699.31
4. Step 4: Simplify right side
   5,735.50x = 161,272,537.97
5. Step 5: Solve for x
   x = 161,272,537.97/5,735.50
6. Step 6: Final answer
   x = 28,118.30