Finding the Third Proportional to 5,662.50 and 12,270

Step by Step Solution

1. Step 1: Write the proportion equation
   5,662.50 : 12,270 = 12,270 : x
2. Step 2: Convert to fraction form
   5,662.50/12,270 = 12,270/x
3. Step 3: Cross multiply
   5,662.50x = 12,270 × 12,270
4. Step 4: Simplify right side
   5,662.50x = 150,552,900
5. Step 5: Solve for x
   x = 150,552,900/5,662.50
6. Step 6: Final answer
   x = 26,587.71