Finding the Third Proportional to 1,113.75 and 1,676.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,113.75 : 1,676.95 = 1,676.95 : x
2. Step 2: Convert to fraction form
   1,113.75/1,676.95 = 1,676.95/x
3. Step 3: Cross multiply
   1,113.75x = 1,676.95 × 1,676.95
4. Step 4: Simplify right side
   1,113.75x = 2,812,171.78
5. Step 5: Solve for x
   x = 2,812,171.78/1,113.75
6. Step 6: Final answer
   x = 2,524.96