Finding the Third Proportional to 1,242.84 and 1,756.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,242.84 : 1,756.27 = 1,756.27 : x
2. Step 2: Convert to fraction form
   1,242.84/1,756.27 = 1,756.27/x
3. Step 3: Cross multiply
   1,242.84x = 1,756.27 × 1,756.27
4. Step 4: Simplify right side
   1,242.84x = 3,084,468.95
5. Step 5: Solve for x
   x = 3,084,468.95/1,242.84
6. Step 6: Final answer
   x = 2,481.78