Finding the Third Proportional to 2,354.54 and 5,127.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,354.54 : 5,127.68 = 5,127.68 : x
2. Step 2: Convert to fraction form
   2,354.54/5,127.68 = 5,127.68/x
3. Step 3: Cross multiply
   2,354.54x = 5,127.68 × 5,127.68
4. Step 4: Simplify right side
   2,354.54x = 26,293,098.98
5. Step 5: Solve for x
   x = 26,293,098.98/2,354.54
6. Step 6: Final answer
   x = 11,166.99