Finding the Third Proportional to 3,721.50 and 5,423.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,721.50 : 5,423.63 = 5,423.63 : x
2. Step 2: Convert to fraction form
   3,721.50/5,423.63 = 5,423.63/x
3. Step 3: Cross multiply
   3,721.50x = 5,423.63 × 5,423.63
4. Step 4: Simplify right side
   3,721.50x = 29,415,708.14
5. Step 5: Solve for x
   x = 29,415,708.14/3,721.50
6. Step 6: Final answer
   x = 7,904.26