Finding the Third Proportional to 1,462 and 2,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462 : 2,053.50 = 2,053.50 : x
2. Step 2: Convert to fraction form
   1,462/2,053.50 = 2,053.50/x
3. Step 3: Cross multiply
   1,462x = 2,053.50 × 2,053.50
4. Step 4: Simplify right side
   1,462x = 4,216,862.25
5. Step 5: Solve for x
   x = 4,216,862.25/1,462
6. Step 6: Final answer
   x = 2,884.31