Finding the Third Proportional to 2,461.69 and 3,783.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,461.69 : 3,783.75 = 3,783.75 : x
2. Step 2: Convert to fraction form
   2,461.69/3,783.75 = 3,783.75/x
3. Step 3: Cross multiply
   2,461.69x = 3,783.75 × 3,783.75
4. Step 4: Simplify right side
   2,461.69x = 14,316,764.06
5. Step 5: Solve for x
   x = 14,316,764.06/2,461.69
6. Step 6: Final answer
   x = 5,815.83