Finding the Third Proportional to 14,580 and 20,101.61

Step by Step Solution

1. Step 1: Write the proportion equation
   14,580 : 20,101.61 = 20,101.61 : x
2. Step 2: Convert to fraction form
   14,580/20,101.61 = 20,101.61/x
3. Step 3: Cross multiply
   14,580x = 20,101.61 × 20,101.61
4. Step 4: Simplify right side
   14,580x = 404,074,542.42
5. Step 5: Solve for x
   x = 404,074,542.42/14,580
6. Step 6: Final answer
   x = 27,714.30