Finding the Third Proportional to 1,185.19 and 1,510.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.19 : 1,510.03 = 1,510.03 : x
2. Step 2: Convert to fraction form
   1,185.19/1,510.03 = 1,510.03/x
3. Step 3: Cross multiply
   1,185.19x = 1,510.03 × 1,510.03
4. Step 4: Simplify right side
   1,185.19x = 2,280,194.38
5. Step 5: Solve for x
   x = 2,280,194.38/1,185.19
6. Step 6: Final answer
   x = 1,923.91