Finding the Third Proportional to 1,077.50 and 1,462.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.50 : 1,462.25 = 1,462.25 : x
2. Step 2: Convert to fraction form
   1,077.50/1,462.25 = 1,462.25/x
3. Step 3: Cross multiply
   1,077.50x = 1,462.25 × 1,462.25
4. Step 4: Simplify right side
   1,077.50x = 2,138,175.06
5. Step 5: Solve for x
   x = 2,138,175.06/1,077.50
6. Step 6: Final answer
   x = 1,984.39