Finding the Third Proportional to 3,075.47 and 4,066.45

Step by Step Solution

1. Step 1: Write the proportion equation
   3,075.47 : 4,066.45 = 4,066.45 : x
2. Step 2: Convert to fraction form
   3,075.47/4,066.45 = 4,066.45/x
3. Step 3: Cross multiply
   3,075.47x = 4,066.45 × 4,066.45
4. Step 4: Simplify right side
   3,075.47x = 16,536,041.02
5. Step 5: Solve for x
   x = 16,536,041.02/3,075.47
6. Step 6: Final answer
   x = 5,376.75