Finding the Third Proportional to 1,945.69 and 3,623.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,945.69 : 3,623.06 = 3,623.06 : x
2. Step 2: Convert to fraction form
   1,945.69/3,623.06 = 3,623.06/x
3. Step 3: Cross multiply
   1,945.69x = 3,623.06 × 3,623.06
4. Step 4: Simplify right side
   1,945.69x = 13,126,581.88
5. Step 5: Solve for x
   x = 13,126,581.88/1,945.69
6. Step 6: Final answer
   x = 6,746.50