Finding the Third Proportional to 3,513.38 and 8,123.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,513.38 : 8,123.63 = 8,123.63 : x
2. Step 2: Convert to fraction form
   3,513.38/8,123.63 = 8,123.63/x
3. Step 3: Cross multiply
   3,513.38x = 8,123.63 × 8,123.63
4. Step 4: Simplify right side
   3,513.38x = 65,993,283.14
5. Step 5: Solve for x
   x = 65,993,283.14/3,513.38
6. Step 6: Final answer
   x = 18,783.44