Finding the Third Proportional to 15,697 and 34,493

Step by Step Solution

1. Step 1: Write the proportion equation
   15,697 : 34,493 = 34,493 : x
2. Step 2: Convert to fraction form
   15,697/34,493 = 34,493/x
3. Step 3: Cross multiply
   15,697x = 34,493 × 34,493
4. Step 4: Simplify right side
   15,697x = 1,189,767,049
5. Step 5: Solve for x
   x = 1,189,767,049/15,697
6. Step 6: Final answer
   x = 75,795.82