Finding the Third Proportional to 1,327.88 and 1,772.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,327.88 : 1,772.06 = 1,772.06 : x
2. Step 2: Convert to fraction form
   1,327.88/1,772.06 = 1,772.06/x
3. Step 3: Cross multiply
   1,327.88x = 1,772.06 × 1,772.06
4. Step 4: Simplify right side
   1,327.88x = 3,140,205.50
5. Step 5: Solve for x
   x = 3,140,205.50/1,327.88
6. Step 6: Final answer
   x = 2,364.84