Finding the Third Proportional to 9,709 and 20,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,709 : 20,689.50 = 20,689.50 : x
2. Step 2: Convert to fraction form
   9,709/20,689.50 = 20,689.50/x
3. Step 3: Cross multiply
   9,709x = 20,689.50 × 20,689.50
4. Step 4: Simplify right side
   9,709x = 428,055,410.25
5. Step 5: Solve for x
   x = 428,055,410.25/9,709
6. Step 6: Final answer
   x = 44,088.52