Finding the Third Proportional to 1,405.69 and 2,024.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.69 : 2,024.58 = 2,024.58 : x
2. Step 2: Convert to fraction form
   1,405.69/2,024.58 = 2,024.58/x
3. Step 3: Cross multiply
   1,405.69x = 2,024.58 × 2,024.58
4. Step 4: Simplify right side
   1,405.69x = 4,098,916.58
5. Step 5: Solve for x
   x = 4,098,916.58/1,405.69
6. Step 6: Final answer
   x = 2,915.95