Finding the Third Proportional to 1,293.47 and 1,978.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,293.47 : 1,978.59 = 1,978.59 : x
2. Step 2: Convert to fraction form
   1,293.47/1,978.59 = 1,978.59/x
3. Step 3: Cross multiply
   1,293.47x = 1,978.59 × 1,978.59
4. Step 4: Simplify right side
   1,293.47x = 3,914,833.23
5. Step 5: Solve for x
   x = 3,914,833.23/1,293.47
6. Step 6: Final answer
   x = 3,026.62