Finding the Third Proportional to 10,209.80 and 22,384.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,209.80 : 22,384.69 = 22,384.69 : x
2. Step 2: Convert to fraction form
   10,209.80/22,384.69 = 22,384.69/x
3. Step 3: Cross multiply
   10,209.80x = 22,384.69 × 22,384.69
4. Step 4: Simplify right side
   10,209.80x = 501,074,234.47
5. Step 5: Solve for x
   x = 501,074,234.47/10,209.80
6. Step 6: Final answer
   x = 49,077.79