Finding the Third Proportional to 1,783.13 and 4,336.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,783.13 : 4,336.31 = 4,336.31 : x
2. Step 2: Convert to fraction form
   1,783.13/4,336.31 = 4,336.31/x
3. Step 3: Cross multiply
   1,783.13x = 4,336.31 × 4,336.31
4. Step 4: Simplify right side
   1,783.13x = 18,803,606.10
5. Step 5: Solve for x
   x = 18,803,606.10/1,783.13
6. Step 6: Final answer
   x = 10,545.31