Finding the Third Proportional to 1,582 and 2,411.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582 : 2,411.25 = 2,411.25 : x
2. Step 2: Convert to fraction form
   1,582/2,411.25 = 2,411.25/x
3. Step 3: Cross multiply
   1,582x = 2,411.25 × 2,411.25
4. Step 4: Simplify right side
   1,582x = 5,814,126.56
5. Step 5: Solve for x
   x = 5,814,126.56/1,582
6. Step 6: Final answer
   x = 3,675.17