Finding the Third Proportional to 1,907.25 and 4,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,907.25 : 4,165.50 = 4,165.50 : x
2. Step 2: Convert to fraction form
   1,907.25/4,165.50 = 4,165.50/x
3. Step 3: Cross multiply
   1,907.25x = 4,165.50 × 4,165.50
4. Step 4: Simplify right side
   1,907.25x = 17,351,390.25
5. Step 5: Solve for x
   x = 17,351,390.25/1,907.25
6. Step 6: Final answer
   x = 9,097.60