Finding the Third Proportional to 2,570.75 and 5,646.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.75 : 5,646.63 = 5,646.63 : x
2. Step 2: Convert to fraction form
   2,570.75/5,646.63 = 5,646.63/x
3. Step 3: Cross multiply
   2,570.75x = 5,646.63 × 5,646.63
4. Step 4: Simplify right side
   2,570.75x = 31,884,373.89
5. Step 5: Solve for x
   x = 31,884,373.89/2,570.75
6. Step 6: Final answer
   x = 12,402.75