Finding the Third Proportional to 11,564 and 23,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564 : 23,559.50 = 23,559.50 : x
2. Step 2: Convert to fraction form
   11,564/23,559.50 = 23,559.50/x
3. Step 3: Cross multiply
   11,564x = 23,559.50 × 23,559.50
4. Step 4: Simplify right side
   11,564x = 555,050,040.25
5. Step 5: Solve for x
   x = 555,050,040.25/11,564
6. Step 6: Final answer
   x = 47,998.10