Finding the Third Proportional to 1,827 and 2,100.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,827 : 2,100.38 = 2,100.38 : x
2. Step 2: Convert to fraction form
   1,827/2,100.38 = 2,100.38/x
3. Step 3: Cross multiply
   1,827x = 2,100.38 × 2,100.38
4. Step 4: Simplify right side
   1,827x = 4,411,575.14
5. Step 5: Solve for x
   x = 4,411,575.14/1,827
6. Step 6: Final answer
   x = 2,414.66