Finding the Third Proportional to 1,527.61 and 3,145.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.61 : 3,145.71 = 3,145.71 : x
2. Step 2: Convert to fraction form
   1,527.61/3,145.71 = 3,145.71/x
3. Step 3: Cross multiply
   1,527.61x = 3,145.71 × 3,145.71
4. Step 4: Simplify right side
   1,527.61x = 9,895,497.30
5. Step 5: Solve for x
   x = 9,895,497.30/1,527.61
6. Step 6: Final answer
   x = 6,477.77