Finding the Third Proportional to 1,352.81 and 1,978.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,352.81 : 1,978.03 = 1,978.03 : x
2. Step 2: Convert to fraction form
   1,352.81/1,978.03 = 1,978.03/x
3. Step 3: Cross multiply
   1,352.81x = 1,978.03 × 1,978.03
4. Step 4: Simplify right side
   1,352.81x = 3,912,607.63
5. Step 5: Solve for x
   x = 3,912,607.63/1,352.81
6. Step 6: Final answer
   x = 2,892.20