Finding the Third Proportional to 2,740.50 and 5,675.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,740.50 : 5,675.63 = 5,675.63 : x
2. Step 2: Convert to fraction form
   2,740.50/5,675.63 = 5,675.63/x
3. Step 3: Cross multiply
   2,740.50x = 5,675.63 × 5,675.63
4. Step 4: Simplify right side
   2,740.50x = 32,212,719.14
5. Step 5: Solve for x
   x = 32,212,719.14/2,740.50
6. Step 6: Final answer
   x = 11,754.32