Finding the Third Proportional to 5,765 and 13,499

Step by Step Solution

1. Step 1: Write the proportion equation
   5,765 : 13,499 = 13,499 : x
2. Step 2: Convert to fraction form
   5,765/13,499 = 13,499/x
3. Step 3: Cross multiply
   5,765x = 13,499 × 13,499
4. Step 4: Simplify right side
   5,765x = 182,223,001
5. Step 5: Solve for x
   x = 182,223,001/5,765
6. Step 6: Final answer
   x = 31,608.50