Finding the Third Proportional to 1,828.69 and 3,262.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,828.69 : 3,262.22 = 3,262.22 : x
2. Step 2: Convert to fraction form
   1,828.69/3,262.22 = 3,262.22/x
3. Step 3: Cross multiply
   1,828.69x = 3,262.22 × 3,262.22
4. Step 4: Simplify right side
   1,828.69x = 10,642,071.17
5. Step 5: Solve for x
   x = 10,642,071.17/1,828.69
6. Step 6: Final answer
   x = 5,819.51