Finding the Third Proportional to 2,610.75 and 5,681.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,610.75 : 5,681.63 = 5,681.63 : x
2. Step 2: Convert to fraction form
   2,610.75/5,681.63 = 5,681.63/x
3. Step 3: Cross multiply
   2,610.75x = 5,681.63 × 5,681.63
4. Step 4: Simplify right side
   2,610.75x = 32,280,862.64
5. Step 5: Solve for x
   x = 32,280,862.64/2,610.75
6. Step 6: Final answer
   x = 12,364.59