Finding the Third Proportional to 11,583 and 22,590

Step by Step Solution

1. Step 1: Write the proportion equation
   11,583 : 22,590 = 22,590 : x
2. Step 2: Convert to fraction form
   11,583/22,590 = 22,590/x
3. Step 3: Cross multiply
   11,583x = 22,590 × 22,590
4. Step 4: Simplify right side
   11,583x = 510,308,100
5. Step 5: Solve for x
   x = 510,308,100/11,583
6. Step 6: Final answer
   x = 44,056.64