Finding the Third Proportional to 1,605.66 and 4,051.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,605.66 : 4,051.69 = 4,051.69 : x
2. Step 2: Convert to fraction form
   1,605.66/4,051.69 = 4,051.69/x
3. Step 3: Cross multiply
   1,605.66x = 4,051.69 × 4,051.69
4. Step 4: Simplify right side
   1,605.66x = 16,416,171.60
5. Step 5: Solve for x
   x = 16,416,171.60/1,605.66
6. Step 6: Final answer
   x = 10,223.96