Finding the Third Proportional to 5,789 and 12,550

Step by Step Solution

1. Step 1: Write the proportion equation
   5,789 : 12,550 = 12,550 : x
2. Step 2: Convert to fraction form
   5,789/12,550 = 12,550/x
3. Step 3: Cross multiply
   5,789x = 12,550 × 12,550
4. Step 4: Simplify right side
   5,789x = 157,502,500
5. Step 5: Solve for x
   x = 157,502,500/5,789
6. Step 6: Final answer
   x = 27,207.20