Finding the Third Proportional to 3,628.13 and 4,053.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,628.13 : 4,053.38 = 4,053.38 : x
2. Step 2: Convert to fraction form
   3,628.13/4,053.38 = 4,053.38/x
3. Step 3: Cross multiply
   3,628.13x = 4,053.38 × 4,053.38
4. Step 4: Simplify right side
   3,628.13x = 16,429,848.89
5. Step 5: Solve for x
   x = 16,429,848.89/3,628.13
6. Step 6: Final answer
   x = 4,528.47