Finding the Third Proportional to 5,762 and 13,493

Step by Step Solution

1. Step 1: Write the proportion equation
   5,762 : 13,493 = 13,493 : x
2. Step 2: Convert to fraction form
   5,762/13,493 = 13,493/x
3. Step 3: Cross multiply
   5,762x = 13,493 × 13,493
4. Step 4: Simplify right side
   5,762x = 182,061,049
5. Step 5: Solve for x
   x = 182,061,049/5,762
6. Step 6: Final answer
   x = 31,596.85