Finding the Third Proportional to 2,992.78 and 5,416.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,992.78 : 5,416.03 = 5,416.03 : x
2. Step 2: Convert to fraction form
   2,992.78/5,416.03 = 5,416.03/x
3. Step 3: Cross multiply
   2,992.78x = 5,416.03 × 5,416.03
4. Step 4: Simplify right side
   2,992.78x = 29,333,394.50
5. Step 5: Solve for x
   x = 29,333,394.50/2,992.78
6. Step 6: Final answer
   x = 9,801.38