Finding the Third Proportional to 2,407.50 and 3,696.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,407.50 : 3,696.75 = 3,696.75 : x
2. Step 2: Convert to fraction form
   2,407.50/3,696.75 = 3,696.75/x
3. Step 3: Cross multiply
   2,407.50x = 3,696.75 × 3,696.75
4. Step 4: Simplify right side
   2,407.50x = 13,665,960.56
5. Step 5: Solve for x
   x = 13,665,960.56/2,407.50
6. Step 6: Final answer
   x = 5,676.41