Finding the Third Proportional to 1,339.88 and 2,075.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,339.88 : 2,075.63 = 2,075.63 : x
2. Step 2: Convert to fraction form
   1,339.88/2,075.63 = 2,075.63/x
3. Step 3: Cross multiply
   1,339.88x = 2,075.63 × 2,075.63
4. Step 4: Simplify right side
   1,339.88x = 4,308,219.14
5. Step 5: Solve for x
   x = 4,308,219.14/1,339.88
6. Step 6: Final answer
   x = 3,215.39