Finding the Third Proportional to 10,580 and 14,550

Step by Step Solution

1. Step 1: Write the proportion equation
   10,580 : 14,550 = 14,550 : x
2. Step 2: Convert to fraction form
   10,580/14,550 = 14,550/x
3. Step 3: Cross multiply
   10,580x = 14,550 × 14,550
4. Step 4: Simplify right side
   10,580x = 211,702,500
5. Step 5: Solve for x
   x = 211,702,500/10,580
6. Step 6: Final answer
   x = 20,009.69