Finding the Third Proportional to 5,748 and 10,389

Step by Step Solution

1. Step 1: Write the proportion equation
   5,748 : 10,389 = 10,389 : x
2. Step 2: Convert to fraction form
   5,748/10,389 = 10,389/x
3. Step 3: Cross multiply
   5,748x = 10,389 × 10,389
4. Step 4: Simplify right side
   5,748x = 107,931,321
5. Step 5: Solve for x
   x = 107,931,321/5,748
6. Step 6: Final answer
   x = 18,777.20