Finding the Third Proportional to 2,148.09 and 4,711.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,148.09 : 4,711.31 = 4,711.31 : x
2. Step 2: Convert to fraction form
   2,148.09/4,711.31 = 4,711.31/x
3. Step 3: Cross multiply
   2,148.09x = 4,711.31 × 4,711.31
4. Step 4: Simplify right side
   2,148.09x = 22,196,465.47
5. Step 5: Solve for x
   x = 22,196,465.47/2,148.09
6. Step 6: Final answer
   x = 10,333.10