Finding the Third Proportional to 882.25 and 1,899.25

Step by Step Solution

1. Step 1: Write the proportion equation
   882.25 : 1,899.25 = 1,899.25 : x
2. Step 2: Convert to fraction form
   882.25/1,899.25 = 1,899.25/x
3. Step 3: Cross multiply
   882.25x = 1,899.25 × 1,899.25
4. Step 4: Simplify right side
   882.25x = 3,607,150.56
5. Step 5: Solve for x
   x = 3,607,150.56/882.25
6. Step 6: Final answer
   x = 4,088.58