Finding the Third Proportional to 1,605.61 and 2,429.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,605.61 : 2,429.14 = 2,429.14 : x
2. Step 2: Convert to fraction form
   1,605.61/2,429.14 = 2,429.14/x
3. Step 3: Cross multiply
   1,605.61x = 2,429.14 × 2,429.14
4. Step 4: Simplify right side
   1,605.61x = 5,900,720.02
5. Step 5: Solve for x
   x = 5,900,720.02/1,605.61
6. Step 6: Final answer
   x = 3,675.06