Finding the Third Proportional to 465 and 1,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   465 : 1,262.50 = 1,262.50 : x
2. Step 2: Convert to fraction form
   465/1,262.50 = 1,262.50/x
3. Step 3: Cross multiply
   465x = 1,262.50 × 1,262.50
4. Step 4: Simplify right side
   465x = 1,593,906.25
5. Step 5: Solve for x
   x = 1,593,906.25/465
6. Step 6: Final answer
   x = 3,427.76