Finding the Third Proportional to 1,644.19 and 3,561.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,644.19 : 3,561.61 = 3,561.61 : x
2. Step 2: Convert to fraction form
   1,644.19/3,561.61 = 3,561.61/x
3. Step 3: Cross multiply
   1,644.19x = 3,561.61 × 3,561.61
4. Step 4: Simplify right side
   1,644.19x = 12,685,061.34
5. Step 5: Solve for x
   x = 12,685,061.34/1,644.19
6. Step 6: Final answer
   x = 7,715.09