Finding the Third Proportional to 5,683.50 and 13,419

Step by Step Solution

1. Step 1: Write the proportion equation
   5,683.50 : 13,419 = 13,419 : x
2. Step 2: Convert to fraction form
   5,683.50/13,419 = 13,419/x
3. Step 3: Cross multiply
   5,683.50x = 13,419 × 13,419
4. Step 4: Simplify right side
   5,683.50x = 180,069,561
5. Step 5: Solve for x
   x = 180,069,561/5,683.50
6. Step 6: Final answer
   x = 31,682.86