Finding the Third Proportional to 1,462.75 and 1,907.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.75 : 1,907.46 = 1,907.46 : x
2. Step 2: Convert to fraction form
   1,462.75/1,907.46 = 1,907.46/x
3. Step 3: Cross multiply
   1,462.75x = 1,907.46 × 1,907.46
4. Step 4: Simplify right side
   1,462.75x = 3,638,384.88
5. Step 5: Solve for x
   x = 3,638,384.88/1,462.75
6. Step 6: Final answer
   x = 2,487.37