Finding the Third Proportional to 2,048.63 and 4,456.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.63 : 4,456.69 = 4,456.69 : x
2. Step 2: Convert to fraction form
   2,048.63/4,456.69 = 4,456.69/x
3. Step 3: Cross multiply
   2,048.63x = 4,456.69 × 4,456.69
4. Step 4: Simplify right side
   2,048.63x = 19,862,063.47
5. Step 5: Solve for x
   x = 19,862,063.47/2,048.63
6. Step 6: Final answer
   x = 9,695.31