Finding the Third Proportional to 2,314.50 and 5,039.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.50 : 5,039.75 = 5,039.75 : x
2. Step 2: Convert to fraction form
   2,314.50/5,039.75 = 5,039.75/x
3. Step 3: Cross multiply
   2,314.50x = 5,039.75 × 5,039.75
4. Step 4: Simplify right side
   2,314.50x = 25,399,080.06
5. Step 5: Solve for x
   x = 25,399,080.06/2,314.50
6. Step 6: Final answer
   x = 10,973.90