Finding the Third Proportional to 2,948.50 and 4,057.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,948.50 : 4,057.63 = 4,057.63 : x
2. Step 2: Convert to fraction form
   2,948.50/4,057.63 = 4,057.63/x
3. Step 3: Cross multiply
   2,948.50x = 4,057.63 × 4,057.63
4. Step 4: Simplify right side
   2,948.50x = 16,464,320.64
5. Step 5: Solve for x
   x = 16,464,320.64/2,948.50
6. Step 6: Final answer
   x = 5,583.96