Finding the Third Proportional to 1,871.81 and 4,075.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,871.81 : 4,075.69 = 4,075.69 : x
2. Step 2: Convert to fraction form
   1,871.81/4,075.69 = 4,075.69/x
3. Step 3: Cross multiply
   1,871.81x = 4,075.69 × 4,075.69
4. Step 4: Simplify right side
   1,871.81x = 16,611,228.60
5. Step 5: Solve for x
   x = 16,611,228.60/1,871.81
6. Step 6: Final answer
   x = 8,874.41