Finding the Third Proportional to 2,362.90 and 5,158.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,362.90 : 5,158.15 = 5,158.15 : x
2. Step 2: Convert to fraction form
   2,362.90/5,158.15 = 5,158.15/x
3. Step 3: Cross multiply
   2,362.90x = 5,158.15 × 5,158.15
4. Step 4: Simplify right side
   2,362.90x = 26,606,495.30
5. Step 5: Solve for x
   x = 26,606,495.30/2,362.90
6. Step 6: Final answer
   x = 11,260.11