Finding the Third Proportional to 2,948.25 and 4,574.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,948.25 : 4,574.63 = 4,574.63 : x
2. Step 2: Convert to fraction form
   2,948.25/4,574.63 = 4,574.63/x
3. Step 3: Cross multiply
   2,948.25x = 4,574.63 × 4,574.63
4. Step 4: Simplify right side
   2,948.25x = 20,927,193.89
5. Step 5: Solve for x
   x = 20,927,193.89/2,948.25
6. Step 6: Final answer
   x = 7,098.17