Finding the Third Proportional to 1,806.47 and 3,757.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,806.47 : 3,757.22 = 3,757.22 : x
2. Step 2: Convert to fraction form
   1,806.47/3,757.22 = 3,757.22/x
3. Step 3: Cross multiply
   1,806.47x = 3,757.22 × 3,757.22
4. Step 4: Simplify right side
   1,806.47x = 14,116,692.74
5. Step 5: Solve for x
   x = 14,116,692.74/1,806.47
6. Step 6: Final answer
   x = 7,814.52