Finding the Third Proportional to 1,427 and 2,075.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427 : 2,075.50 = 2,075.50 : x
2. Step 2: Convert to fraction form
   1,427/2,075.50 = 2,075.50/x
3. Step 3: Cross multiply
   1,427x = 2,075.50 × 2,075.50
4. Step 4: Simplify right side
   1,427x = 4,307,700.25
5. Step 5: Solve for x
   x = 4,307,700.25/1,427
6. Step 6: Final answer
   x = 3,018.71