Finding the Third Proportional to 1,994.63 and 4,609.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,994.63 : 4,609.69 = 4,609.69 : x
2. Step 2: Convert to fraction form
   1,994.63/4,609.69 = 4,609.69/x
3. Step 3: Cross multiply
   1,994.63x = 4,609.69 × 4,609.69
4. Step 4: Simplify right side
   1,994.63x = 21,249,218.85
5. Step 5: Solve for x
   x = 21,249,218.85/1,994.63
6. Step 6: Final answer
   x = 10,653.24