Finding the Third Proportional to 2,492.17 and 5,055.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,492.17 : 5,055.06 = 5,055.06 : x
2. Step 2: Convert to fraction form
   2,492.17/5,055.06 = 5,055.06/x
3. Step 3: Cross multiply
   2,492.17x = 5,055.06 × 5,055.06
4. Step 4: Simplify right side
   2,492.17x = 25,553,676.63
5. Step 5: Solve for x
   x = 25,553,676.63/2,492.17
6. Step 6: Final answer
   x = 10,253.57