Finding the Third Proportional to 2,085.75 and 3,376.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.75 : 3,376.69 = 3,376.69 : x
2. Step 2: Convert to fraction form
   2,085.75/3,376.69 = 3,376.69/x
3. Step 3: Cross multiply
   2,085.75x = 3,376.69 × 3,376.69
4. Step 4: Simplify right side
   2,085.75x = 11,402,018.47
5. Step 5: Solve for x
   x = 11,402,018.47/2,085.75
6. Step 6: Final answer
   x = 5,466.63