Finding the Third Proportional to 9,689 and 21,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,689 : 21,569.50 = 21,569.50 : x
2. Step 2: Convert to fraction form
   9,689/21,569.50 = 21,569.50/x
3. Step 3: Cross multiply
   9,689x = 21,569.50 × 21,569.50
4. Step 4: Simplify right side
   9,689x = 465,243,330.25
5. Step 5: Solve for x
   x = 465,243,330.25/9,689
6. Step 6: Final answer
   x = 48,017.68