Finding the Third Proportional to 9,784 and 13,946

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784 : 13,946 = 13,946 : x
2. Step 2: Convert to fraction form
   9,784/13,946 = 13,946/x
3. Step 3: Cross multiply
   9,784x = 13,946 × 13,946
4. Step 4: Simplify right side
   9,784x = 194,490,916
5. Step 5: Solve for x
   x = 194,490,916/9,784
6. Step 6: Final answer
   x = 19,878.47