Finding the Third Proportional to 9,596 and 14,820

Step by Step Solution

1. Step 1: Write the proportion equation
   9,596 : 14,820 = 14,820 : x
2. Step 2: Convert to fraction form
   9,596/14,820 = 14,820/x
3. Step 3: Cross multiply
   9,596x = 14,820 × 14,820
4. Step 4: Simplify right side
   9,596x = 219,632,400
5. Step 5: Solve for x
   x = 219,632,400/9,596
6. Step 6: Final answer
   x = 22,887.91