Finding the Third Proportional to 1,582.13 and 3,468.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.13 : 3,468.38 = 3,468.38 : x
2. Step 2: Convert to fraction form
   1,582.13/3,468.38 = 3,468.38/x
3. Step 3: Cross multiply
   1,582.13x = 3,468.38 × 3,468.38
4. Step 4: Simplify right side
   1,582.13x = 12,029,625.14
5. Step 5: Solve for x
   x = 12,029,625.14/1,582.13
6. Step 6: Final answer
   x = 7,603.46