Finding the Third Proportional to 2,389.75 and 5,622.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,389.75 : 5,622.63 = 5,622.63 : x
2. Step 2: Convert to fraction form
   2,389.75/5,622.63 = 5,622.63/x
3. Step 3: Cross multiply
   2,389.75x = 5,622.63 × 5,622.63
4. Step 4: Simplify right side
   2,389.75x = 31,613,911.89
5. Step 5: Solve for x
   x = 31,613,911.89/2,389.75
6. Step 6: Final answer
   x = 13,228.96