Finding the Third Proportional to 656.86 and 1,347.89

Step by Step Solution

1. Step 1: Write the proportion equation
   656.86 : 1,347.89 = 1,347.89 : x
2. Step 2: Convert to fraction form
   656.86/1,347.89 = 1,347.89/x
3. Step 3: Cross multiply
   656.86x = 1,347.89 × 1,347.89
4. Step 4: Simplify right side
   656.86x = 1,816,809.14
5. Step 5: Solve for x
   x = 1,816,809.14/656.86
6. Step 6: Final answer
   x = 2,765.90