Finding the Third Proportional to 2,110.50 and 2,335.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,110.50 : 2,335.78 = 2,335.78 : x
2. Step 2: Convert to fraction form
   2,110.50/2,335.78 = 2,335.78/x
3. Step 3: Cross multiply
   2,110.50x = 2,335.78 × 2,335.78
4. Step 4: Simplify right side
   2,110.50x = 5,455,874.05
5. Step 5: Solve for x
   x = 5,455,874.05/2,110.50
6. Step 6: Final answer
   x = 2,585.11