Finding the Third Proportional to 1,592.16 and 2,462.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,592.16 : 2,462.91 = 2,462.91 : x
2. Step 2: Convert to fraction form
   1,592.16/2,462.91 = 2,462.91/x
3. Step 3: Cross multiply
   1,592.16x = 2,462.91 × 2,462.91
4. Step 4: Simplify right side
   1,592.16x = 6,065,907.20
5. Step 5: Solve for x
   x = 6,065,907.20/1,592.16
6. Step 6: Final answer
   x = 3,809.87