Finding the Third Proportional to 9,616.50 and 19,631.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,616.50 : 19,631.25 = 19,631.25 : x
2. Step 2: Convert to fraction form
   9,616.50/19,631.25 = 19,631.25/x
3. Step 3: Cross multiply
   9,616.50x = 19,631.25 × 19,631.25
4. Step 4: Simplify right side
   9,616.50x = 385,385,976.56
5. Step 5: Solve for x
   x = 385,385,976.56/9,616.50
6. Step 6: Final answer
   x = 40,075.49