Finding the Third Proportional to 3,730.50 and 5,048.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,730.50 : 5,048.63 = 5,048.63 : x
2. Step 2: Convert to fraction form
   3,730.50/5,048.63 = 5,048.63/x
3. Step 3: Cross multiply
   3,730.50x = 5,048.63 × 5,048.63
4. Step 4: Simplify right side
   3,730.50x = 25,488,614.39
5. Step 5: Solve for x
   x = 25,488,614.39/3,730.50
6. Step 6: Final answer
   x = 6,832.49