Finding the Third Proportional to 2,457.75 and 5,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.75 : 5,347.50 = 5,347.50 : x
2. Step 2: Convert to fraction form
   2,457.75/5,347.50 = 5,347.50/x
3. Step 3: Cross multiply
   2,457.75x = 5,347.50 × 5,347.50
4. Step 4: Simplify right side
   2,457.75x = 28,595,756.25
5. Step 5: Solve for x
   x = 28,595,756.25/2,457.75
6. Step 6: Final answer
   x = 11,634.93