Finding the Third Proportional to 9,195 and 13,789

Step by Step Solution

1. Step 1: Write the proportion equation
   9,195 : 13,789 = 13,789 : x
2. Step 2: Convert to fraction form
   9,195/13,789 = 13,789/x
3. Step 3: Cross multiply
   9,195x = 13,789 × 13,789
4. Step 4: Simplify right side
   9,195x = 190,136,521
5. Step 5: Solve for x
   x = 190,136,521/9,195
6. Step 6: Final answer
   x = 20,678.25