Finding the Third Proportional to 9,578 and 14,789

Step by Step Solution

1. Step 1: Write the proportion equation
   9,578 : 14,789 = 14,789 : x
2. Step 2: Convert to fraction form
   9,578/14,789 = 14,789/x
3. Step 3: Cross multiply
   9,578x = 14,789 × 14,789
4. Step 4: Simplify right side
   9,578x = 218,714,521
5. Step 5: Solve for x
   x = 218,714,521/9,578
6. Step 6: Final answer
   x = 22,835.09