Finding the Third Proportional to 2,178 and 4,851.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178 : 4,851.56 = 4,851.56 : x
2. Step 2: Convert to fraction form
   2,178/4,851.56 = 4,851.56/x
3. Step 3: Cross multiply
   2,178x = 4,851.56 × 4,851.56
4. Step 4: Simplify right side
   2,178x = 23,537,658.69
5. Step 5: Solve for x
   x = 23,537,658.69/2,178
6. Step 6: Final answer
   x = 10,807.01