Finding the Third Proportional to 2,415.75 and 5,615.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,415.75 : 5,615.25 = 5,615.25 : x
2. Step 2: Convert to fraction form
   2,415.75/5,615.25 = 5,615.25/x
3. Step 3: Cross multiply
   2,415.75x = 5,615.25 × 5,615.25
4. Step 4: Simplify right side
   2,415.75x = 31,531,032.56
5. Step 5: Solve for x
   x = 31,531,032.56/2,415.75
6. Step 6: Final answer
   x = 13,052.27