Finding the Third Proportional to 9,784 and 14,468

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784 : 14,468 = 14,468 : x
2. Step 2: Convert to fraction form
   9,784/14,468 = 14,468/x
3. Step 3: Cross multiply
   9,784x = 14,468 × 14,468
4. Step 4: Simplify right side
   9,784x = 209,323,024
5. Step 5: Solve for x
   x = 209,323,024/9,784
6. Step 6: Final answer
   x = 21,394.42