Finding the Third Proportional to 14,409 and 21,061

Step by Step Solution

1. Step 1: Write the proportion equation
   14,409 : 21,061 = 21,061 : x
2. Step 2: Convert to fraction form
   14,409/21,061 = 21,061/x
3. Step 3: Cross multiply
   14,409x = 21,061 × 21,061
4. Step 4: Simplify right side
   14,409x = 443,565,721
5. Step 5: Solve for x
   x = 443,565,721/14,409
6. Step 6: Final answer
   x = 30,783.94