Finding the Third Proportional to 1,765.69 and 2,527.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,765.69 : 2,527.31 = 2,527.31 : x
2. Step 2: Convert to fraction form
   1,765.69/2,527.31 = 2,527.31/x
3. Step 3: Cross multiply
   1,765.69x = 2,527.31 × 2,527.31
4. Step 4: Simplify right side
   1,765.69x = 6,387,308.47
5. Step 5: Solve for x
   x = 6,387,308.47/1,765.69
6. Step 6: Final answer
   x = 3,617.46