Finding the Third Proportional to 1,462.50 and 2,790.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.50 : 2,790.28 = 2,790.28 : x
2. Step 2: Convert to fraction form
   1,462.50/2,790.28 = 2,790.28/x
3. Step 3: Cross multiply
   1,462.50x = 2,790.28 × 2,790.28
4. Step 4: Simplify right side
   1,462.50x = 7,785,669.45
5. Step 5: Solve for x
   x = 7,785,669.45/1,462.50
6. Step 6: Final answer
   x = 5,323.53