Finding the Third Proportional to 1,740.09 and 3,623.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,740.09 : 3,623.63 = 3,623.63 : x
2. Step 2: Convert to fraction form
   1,740.09/3,623.63 = 3,623.63/x
3. Step 3: Cross multiply
   1,740.09x = 3,623.63 × 3,623.63
4. Step 4: Simplify right side
   1,740.09x = 13,130,658.14
5. Step 5: Solve for x
   x = 13,130,658.14/1,740.09
6. Step 6: Final answer
   x = 7,545.95