Finding the Third Proportional to 9,649.50 and 19,566.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,649.50 : 19,566.75 = 19,566.75 : x
2. Step 2: Convert to fraction form
   9,649.50/19,566.75 = 19,566.75/x
3. Step 3: Cross multiply
   9,649.50x = 19,566.75 × 19,566.75
4. Step 4: Simplify right side
   9,649.50x = 382,857,705.56
5. Step 5: Solve for x
   x = 382,857,705.56/9,649.50
6. Step 6: Final answer
   x = 39,676.43