Finding the Third Proportional to 1,462.50 and 2,057.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.50 : 2,057.25 = 2,057.25 : x
2. Step 2: Convert to fraction form
   1,462.50/2,057.25 = 2,057.25/x
3. Step 3: Cross multiply
   1,462.50x = 2,057.25 × 2,057.25
4. Step 4: Simplify right side
   1,462.50x = 4,232,277.56
5. Step 5: Solve for x
   x = 4,232,277.56/1,462.50
6. Step 6: Final answer
   x = 2,893.87