Finding the Third Proportional to 1,765.69 and 3,146.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,765.69 : 3,146.63 = 3,146.63 : x
2. Step 2: Convert to fraction form
   1,765.69/3,146.63 = 3,146.63/x
3. Step 3: Cross multiply
   1,765.69x = 3,146.63 × 3,146.63
4. Step 4: Simplify right side
   1,765.69x = 9,901,248.89
5. Step 5: Solve for x
   x = 9,901,248.89/1,765.69
6. Step 6: Final answer
   x = 5,607.59