Finding the Third Proportional to 5,697 and 10,590

Step by Step Solution

1. Step 1: Write the proportion equation
   5,697 : 10,590 = 10,590 : x
2. Step 2: Convert to fraction form
   5,697/10,590 = 10,590/x
3. Step 3: Cross multiply
   5,697x = 10,590 × 10,590
4. Step 4: Simplify right side
   5,697x = 112,148,100
5. Step 5: Solve for x
   x = 112,148,100/5,697
6. Step 6: Final answer
   x = 19,685.47