Finding the Third Proportional to 1,906.88 and 4,559.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,906.88 : 4,559.63 = 4,559.63 : x
2. Step 2: Convert to fraction form
   1,906.88/4,559.63 = 4,559.63/x
3. Step 3: Cross multiply
   1,906.88x = 4,559.63 × 4,559.63
4. Step 4: Simplify right side
   1,906.88x = 20,790,180.14
5. Step 5: Solve for x
   x = 20,790,180.14/1,906.88
6. Step 6: Final answer
   x = 10,902.75