Finding the Third Proportional to 1,002.38 and 2,152.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.38 : 2,152.83 = 2,152.83 : x
2. Step 2: Convert to fraction form
   1,002.38/2,152.83 = 2,152.83/x
3. Step 3: Cross multiply
   1,002.38x = 2,152.83 × 2,152.83
4. Step 4: Simplify right side
   1,002.38x = 4,634,668.94
5. Step 5: Solve for x
   x = 4,634,668.94/1,002.38
6. Step 6: Final answer
   x = 4,623.69