Finding the Third Proportional to 10,590 and 22,614

Step by Step Solution

1. Step 1: Write the proportion equation
   10,590 : 22,614 = 22,614 : x
2. Step 2: Convert to fraction form
   10,590/22,614 = 22,614/x
3. Step 3: Cross multiply
   10,590x = 22,614 × 22,614
4. Step 4: Simplify right side
   10,590x = 511,392,996
5. Step 5: Solve for x
   x = 511,392,996/10,590
6. Step 6: Final answer
   x = 48,290.18