Finding the Third Proportional to 1,212.75 and 1,978.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,212.75 : 1,978.59 = 1,978.59 : x
2. Step 2: Convert to fraction form
   1,212.75/1,978.59 = 1,978.59/x
3. Step 3: Cross multiply
   1,212.75x = 1,978.59 × 1,978.59
4. Step 4: Simplify right side
   1,212.75x = 3,914,833.23
5. Step 5: Solve for x
   x = 3,914,833.23/1,212.75
6. Step 6: Final answer
   x = 3,228.06