Finding the Third Proportional to 1,206.56 and 2,748.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,206.56 : 2,748.94 = 2,748.94 : x
2. Step 2: Convert to fraction form
   1,206.56/2,748.94 = 2,748.94/x
3. Step 3: Cross multiply
   1,206.56x = 2,748.94 × 2,748.94
4. Step 4: Simplify right side
   1,206.56x = 7,556,657.38
5. Step 5: Solve for x
   x = 7,556,657.38/1,206.56
6. Step 6: Final answer
   x = 6,262.96