Finding the Third Proportional to 1,527.19 and 3,169.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.19 : 3,169.69 = 3,169.69 : x
2. Step 2: Convert to fraction form
   1,527.19/3,169.69 = 3,169.69/x
3. Step 3: Cross multiply
   1,527.19x = 3,169.69 × 3,169.69
4. Step 4: Simplify right side
   1,527.19x = 10,046,918.85
5. Step 5: Solve for x
   x = 10,046,918.85/1,527.19
6. Step 6: Final answer
   x = 6,578.71