Finding the Third Proportional to 1,337.63 and 2,768.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,337.63 : 2,768.34 = 2,768.34 : x
2. Step 2: Convert to fraction form
   1,337.63/2,768.34 = 2,768.34/x
3. Step 3: Cross multiply
   1,337.63x = 2,768.34 × 2,768.34
4. Step 4: Simplify right side
   1,337.63x = 7,663,727.12
5. Step 5: Solve for x
   x = 7,663,727.12/1,337.63
6. Step 6: Final answer
   x = 5,729.35