Finding the Third Proportional to 1,639.83 and 2,945.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,639.83 : 2,945.53 = 2,945.53 : x
2. Step 2: Convert to fraction form
   1,639.83/2,945.53 = 2,945.53/x
3. Step 3: Cross multiply
   1,639.83x = 2,945.53 × 2,945.53
4. Step 4: Simplify right side
   1,639.83x = 8,676,154.34
5. Step 5: Solve for x
   x = 8,676,154.34/1,639.83
6. Step 6: Final answer
   x = 5,290.89