Finding the Third Proportional to 1,641.63 and 3,513.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,641.63 : 3,513.63 = 3,513.63 : x
2. Step 2: Convert to fraction form
   1,641.63/3,513.63 = 3,513.63/x
3. Step 3: Cross multiply
   1,641.63x = 3,513.63 × 3,513.63
4. Step 4: Simplify right side
   1,641.63x = 12,345,560.64
5. Step 5: Solve for x
   x = 12,345,560.64/1,641.63
6. Step 6: Final answer
   x = 7,520.33