Finding the Third Proportional to 9,709.50 and 20,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,709.50 : 20,566.50 = 20,566.50 : x
2. Step 2: Convert to fraction form
   9,709.50/20,566.50 = 20,566.50/x
3. Step 3: Cross multiply
   9,709.50x = 20,566.50 × 20,566.50
4. Step 4: Simplify right side
   9,709.50x = 422,980,922.25
5. Step 5: Solve for x
   x = 422,980,922.25/9,709.50
6. Step 6: Final answer
   x = 43,563.62