Finding the Third Proportional to 1,739.81 and 3,673.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,739.81 : 3,673.69 = 3,673.69 : x
2. Step 2: Convert to fraction form
   1,739.81/3,673.69 = 3,673.69/x
3. Step 3: Cross multiply
   1,739.81x = 3,673.69 × 3,673.69
4. Step 4: Simplify right side
   1,739.81x = 13,495,979.85
5. Step 5: Solve for x
   x = 13,495,979.85/1,739.81
6. Step 6: Final answer
   x = 7,757.15