Finding the Third Proportional to 2,466 and 5,341.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,466 : 5,341.50 = 5,341.50 : x
2. Step 2: Convert to fraction form
   2,466/5,341.50 = 5,341.50/x
3. Step 3: Cross multiply
   2,466x = 5,341.50 × 5,341.50
4. Step 4: Simplify right side
   2,466x = 28,531,622.25
5. Step 5: Solve for x
   x = 28,531,622.25/2,466
6. Step 6: Final answer
   x = 11,570.00