Finding the Third Proportional to 2,461.50 and 5,314.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,461.50 : 5,314.22 = 5,314.22 : x
2. Step 2: Convert to fraction form
   2,461.50/5,314.22 = 5,314.22/x
3. Step 3: Cross multiply
   2,461.50x = 5,314.22 × 5,314.22
4. Step 4: Simplify right side
   2,461.50x = 28,240,920.92
5. Step 5: Solve for x
   x = 28,240,920.92/2,461.50
6. Step 6: Final answer
   x = 11,473.05