Finding the Third Proportional to 882.75 and 2,085.38

Step by Step Solution

1. Step 1: Write the proportion equation
   882.75 : 2,085.38 = 2,085.38 : x
2. Step 2: Convert to fraction form
   882.75/2,085.38 = 2,085.38/x
3. Step 3: Cross multiply
   882.75x = 2,085.38 × 2,085.38
4. Step 4: Simplify right side
   882.75x = 4,348,788.89
5. Step 5: Solve for x
   x = 4,348,788.89/882.75
6. Step 6: Final answer
   x = 4,926.41