Finding the Third Proportional to 10,588.50 and 22,830

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.50 : 22,830 = 22,830 : x
2. Step 2: Convert to fraction form
   10,588.50/22,830 = 22,830/x
3. Step 3: Cross multiply
   10,588.50x = 22,830 × 22,830
4. Step 4: Simplify right side
   10,588.50x = 521,208,900
5. Step 5: Solve for x
   x = 521,208,900/10,588.50
6. Step 6: Final answer
   x = 49,224.05