Finding the Third Proportional to 2,564.50 and 3,761

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.50 : 3,761 = 3,761 : x
2. Step 2: Convert to fraction form
   2,564.50/3,761 = 3,761/x
3. Step 3: Cross multiply
   2,564.50x = 3,761 × 3,761
4. Step 4: Simplify right side
   2,564.50x = 14,145,121
5. Step 5: Solve for x
   x = 14,145,121/2,564.50
6. Step 6: Final answer
   x = 5,515.74