Finding the Third Proportional to 2,762.65 and 5,966.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,762.65 : 5,966.58 = 5,966.58 : x
2. Step 2: Convert to fraction form
   2,762.65/5,966.58 = 5,966.58/x
3. Step 3: Cross multiply
   2,762.65x = 5,966.58 × 5,966.58
4. Step 4: Simplify right side
   2,762.65x = 35,600,054.52
5. Step 5: Solve for x
   x = 35,600,054.52/2,762.65
6. Step 6: Final answer
   x = 12,886.21