Finding the Third Proportional to 1,707.50 and 3,676.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,707.50 : 3,676.75 = 3,676.75 : x
2. Step 2: Convert to fraction form
   1,707.50/3,676.75 = 3,676.75/x
3. Step 3: Cross multiply
   1,707.50x = 3,676.75 × 3,676.75
4. Step 4: Simplify right side
   1,707.50x = 13,518,490.56
5. Step 5: Solve for x
   x = 13,518,490.56/1,707.50
6. Step 6: Final answer
   x = 7,917.12