Finding the Third Proportional to 1,352.81 and 1,977.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,352.81 : 1,977.75 = 1,977.75 : x
2. Step 2: Convert to fraction form
   1,352.81/1,977.75 = 1,977.75/x
3. Step 3: Cross multiply
   1,352.81x = 1,977.75 × 1,977.75
4. Step 4: Simplify right side
   1,352.81x = 3,911,495.06
5. Step 5: Solve for x
   x = 3,911,495.06/1,352.81
6. Step 6: Final answer
   x = 2,891.38