Finding the Third Proportional to 3,506.63 and 7,123.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,506.63 : 7,123.78 = 7,123.78 : x
2. Step 2: Convert to fraction form
   3,506.63/7,123.78 = 7,123.78/x
3. Step 3: Cross multiply
   3,506.63x = 7,123.78 × 7,123.78
4. Step 4: Simplify right side
   3,506.63x = 50,748,259.30
5. Step 5: Solve for x
   x = 50,748,259.30/3,506.63
6. Step 6: Final answer
   x = 14,472.11