Finding the Third Proportional to 1,005.22 and 2,087.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.22 : 2,087.33 = 2,087.33 : x
2. Step 2: Convert to fraction form
   1,005.22/2,087.33 = 2,087.33/x
3. Step 3: Cross multiply
   1,005.22x = 2,087.33 × 2,087.33
4. Step 4: Simplify right side
   1,005.22x = 4,356,955.01
5. Step 5: Solve for x
   x = 4,356,955.01/1,005.22
6. Step 6: Final answer
   x = 4,334.32