Finding the Third Proportional to 9,564 and 20,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564 : 20,290.50 = 20,290.50 : x
2. Step 2: Convert to fraction form
   9,564/20,290.50 = 20,290.50/x
3. Step 3: Cross multiply
   9,564x = 20,290.50 × 20,290.50
4. Step 4: Simplify right side
   9,564x = 411,704,390.25
5. Step 5: Solve for x
   x = 411,704,390.25/9,564
6. Step 6: Final answer
   x = 43,047.30