Finding the Third Proportional to 1,974.38 and 4,559.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,974.38 : 4,559.06 = 4,559.06 : x
2. Step 2: Convert to fraction form
   1,974.38/4,559.06 = 4,559.06/x
3. Step 3: Cross multiply
   1,974.38x = 4,559.06 × 4,559.06
4. Step 4: Simplify right side
   1,974.38x = 20,785,050.88
5. Step 5: Solve for x
   x = 20,785,050.88/1,974.38
6. Step 6: Final answer
   x = 10,527.41