Finding the Third Proportional to 2,437.78 and 5,166.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,437.78 : 5,166.09 = 5,166.09 : x
2. Step 2: Convert to fraction form
   2,437.78/5,166.09 = 5,166.09/x
3. Step 3: Cross multiply
   2,437.78x = 5,166.09 × 5,166.09
4. Step 4: Simplify right side
   2,437.78x = 26,688,524.63
5. Step 5: Solve for x
   x = 26,688,524.63/2,437.78
6. Step 6: Final answer
   x = 10,947.88