Finding the Third Proportional to 1,323.35 and 1,985.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.35 : 1,985.20 = 1,985.20 : x
2. Step 2: Convert to fraction form
   1,323.35/1,985.20 = 1,985.20/x
3. Step 3: Cross multiply
   1,323.35x = 1,985.20 × 1,985.20
4. Step 4: Simplify right side
   1,323.35x = 3,941,031.45
5. Step 5: Solve for x
   x = 3,941,031.45/1,323.35
6. Step 6: Final answer
   x = 2,978.07