Finding the Third Proportional to 1,059.75 and 1,496.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.75 : 1,496.81 = 1,496.81 : x
2. Step 2: Convert to fraction form
   1,059.75/1,496.81 = 1,496.81/x
3. Step 3: Cross multiply
   1,059.75x = 1,496.81 × 1,496.81
4. Step 4: Simplify right side
   1,059.75x = 2,240,447.66
5. Step 5: Solve for x
   x = 2,240,447.66/1,059.75
6. Step 6: Final answer
   x = 2,114.13