Finding the Third Proportional to 2,462.63 and 3,632.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462.63 : 3,632.63 = 3,632.63 : x
2. Step 2: Convert to fraction form
   2,462.63/3,632.63 = 3,632.63/x
3. Step 3: Cross multiply
   2,462.63x = 3,632.63 × 3,632.63
4. Step 4: Simplify right side
   2,462.63x = 13,195,964.39
5. Step 5: Solve for x
   x = 13,195,964.39/2,462.63
6. Step 6: Final answer
   x = 5,358.50