Finding the Third Proportional to 1,501.50 and 2,057

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.50 : 2,057 = 2,057 : x
2. Step 2: Convert to fraction form
   1,501.50/2,057 = 2,057/x
3. Step 3: Cross multiply
   1,501.50x = 2,057 × 2,057
4. Step 4: Simplify right side
   1,501.50x = 4,231,249
5. Step 5: Solve for x
   x = 4,231,249/1,501.50
6. Step 6: Final answer
   x = 2,818.01