Finding the Third Proportional to 751.69 and 1,605.38

Step by Step Solution

1. Step 1: Write the proportion equation
   751.69 : 1,605.38 = 1,605.38 : x
2. Step 2: Convert to fraction form
   751.69/1,605.38 = 1,605.38/x
3. Step 3: Cross multiply
   751.69x = 1,605.38 × 1,605.38
4. Step 4: Simplify right side
   751.69x = 2,577,228.89
5. Step 5: Solve for x
   x = 2,577,228.89/751.69
6. Step 6: Final answer
   x = 3,428.59