Finding the Third Proportional to 9,400 and 14,046

Step by Step Solution

1. Step 1: Write the proportion equation
   9,400 : 14,046 = 14,046 : x
2. Step 2: Convert to fraction form
   9,400/14,046 = 14,046/x
3. Step 3: Cross multiply
   9,400x = 14,046 × 14,046
4. Step 4: Simplify right side
   9,400x = 197,290,116
5. Step 5: Solve for x
   x = 197,290,116/9,400
6. Step 6: Final answer
   x = 20,988.31