Finding the Third Proportional to 1,405.38 and 2,024.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.38 : 2,024.38 = 2,024.38 : x
2. Step 2: Convert to fraction form
   1,405.38/2,024.38 = 2,024.38/x
3. Step 3: Cross multiply
   1,405.38x = 2,024.38 × 2,024.38
4. Step 4: Simplify right side
   1,405.38x = 4,098,094.14
5. Step 5: Solve for x
   x = 4,098,094.14/1,405.38
6. Step 6: Final answer
   x = 2,916.01