Finding the Third Proportional to 1,588.99 and 3,222.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.99 : 3,222.83 = 3,222.83 : x
2. Step 2: Convert to fraction form
   1,588.99/3,222.83 = 3,222.83/x
3. Step 3: Cross multiply
   1,588.99x = 3,222.83 × 3,222.83
4. Step 4: Simplify right side
   1,588.99x = 10,386,665.19
5. Step 5: Solve for x
   x = 10,386,665.19/1,588.99
6. Step 6: Final answer
   x = 6,536.64