Finding the Third Proportional to 1,806.75 and 4,557.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,806.75 : 4,557.38 = 4,557.38 : x
2. Step 2: Convert to fraction form
   1,806.75/4,557.38 = 4,557.38/x
3. Step 3: Cross multiply
   1,806.75x = 4,557.38 × 4,557.38
4. Step 4: Simplify right side
   1,806.75x = 20,769,666.89
5. Step 5: Solve for x
   x = 20,769,666.89/1,806.75
6. Step 6: Final answer
   x = 11,495.60