Finding the Third Proportional to 14,804 and 21,142

Step by Step Solution

1. Step 1: Write the proportion equation
   14,804 : 21,142 = 21,142 : x
2. Step 2: Convert to fraction form
   14,804/21,142 = 21,142/x
3. Step 3: Cross multiply
   14,804x = 21,142 × 21,142
4. Step 4: Simplify right side
   14,804x = 446,984,164
5. Step 5: Solve for x
   x = 446,984,164/14,804
6. Step 6: Final answer
   x = 30,193.47