Finding the Third Proportional to 10,623 and 22,590

Step by Step Solution

1. Step 1: Write the proportion equation
   10,623 : 22,590 = 22,590 : x
2. Step 2: Convert to fraction form
   10,623/22,590 = 22,590/x
3. Step 3: Cross multiply
   10,623x = 22,590 × 22,590
4. Step 4: Simplify right side
   10,623x = 510,308,100
5. Step 5: Solve for x
   x = 510,308,100/10,623
6. Step 6: Final answer
   x = 48,038.04