Finding the Third Proportional to 2,511.56 and 2,795.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,511.56 : 2,795.06 = 2,795.06 : x
2. Step 2: Convert to fraction form
   2,511.56/2,795.06 = 2,795.06/x
3. Step 3: Cross multiply
   2,511.56x = 2,795.06 × 2,795.06
4. Step 4: Simplify right side
   2,511.56x = 7,812,374.38
5. Step 5: Solve for x
   x = 7,812,374.38/2,511.56
6. Step 6: Final answer
   x = 3,110.56