Finding the Third Proportional to 1,455 and 1,936.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,455 : 1,936.50 = 1,936.50 : x
2. Step 2: Convert to fraction form
   1,455/1,936.50 = 1,936.50/x
3. Step 3: Cross multiply
   1,455x = 1,936.50 × 1,936.50
4. Step 4: Simplify right side
   1,455x = 3,750,032.25
5. Step 5: Solve for x
   x = 3,750,032.25/1,455
6. Step 6: Final answer
   x = 2,577.34