Finding the Third Proportional to 1,380.25 and 2,077.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.25 : 2,077.25 = 2,077.25 : x
2. Step 2: Convert to fraction form
   1,380.25/2,077.25 = 2,077.25/x
3. Step 3: Cross multiply
   1,380.25x = 2,077.25 × 2,077.25
4. Step 4: Simplify right side
   1,380.25x = 4,314,967.56
5. Step 5: Solve for x
   x = 4,314,967.56/1,380.25
6. Step 6: Final answer
   x = 3,126.22