Finding the Third Proportional to 1,805.25 and 3,752.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,805.25 : 3,752.63 = 3,752.63 : x
2. Step 2: Convert to fraction form
   1,805.25/3,752.63 = 3,752.63/x
3. Step 3: Cross multiply
   1,805.25x = 3,752.63 × 3,752.63
4. Step 4: Simplify right side
   1,805.25x = 14,082,194.39
5. Step 5: Solve for x
   x = 14,082,194.39/1,805.25
6. Step 6: Final answer
   x = 7,800.69