Finding the Third Proportional to 4,889.25 and 7,574.06

Step by Step Solution

1. Step 1: Write the proportion equation
   4,889.25 : 7,574.06 = 7,574.06 : x
2. Step 2: Convert to fraction form
   4,889.25/7,574.06 = 7,574.06/x
3. Step 3: Cross multiply
   4,889.25x = 7,574.06 × 7,574.06
4. Step 4: Simplify right side
   4,889.25x = 57,366,422.75
5. Step 5: Solve for x
   x = 57,366,422.75/4,889.25
6. Step 6: Final answer
   x = 11,733.17