Finding the Third Proportional to 4,587.57 and 10,823.94

Step by Step Solution

1. Step 1: Write the proportion equation
   4,587.57 : 10,823.94 = 10,823.94 : x
2. Step 2: Convert to fraction form
   4,587.57/10,823.94 = 10,823.94/x
3. Step 3: Cross multiply
   4,587.57x = 10,823.94 × 10,823.94
4. Step 4: Simplify right side
   4,587.57x = 117,157,707.57
5. Step 5: Solve for x
   x = 117,157,707.57/4,587.57
6. Step 6: Final answer
   x = 25,538.05