Finding the Third Proportional to 2,594 and 3,882

Step by Step Solution

1. Step 1: Write the proportion equation
   2,594 : 3,882 = 3,882 : x
2. Step 2: Convert to fraction form
   2,594/3,882 = 3,882/x
3. Step 3: Cross multiply
   2,594x = 3,882 × 3,882
4. Step 4: Simplify right side
   2,594x = 15,069,924
5. Step 5: Solve for x
   x = 15,069,924/2,594
6. Step 6: Final answer
   x = 5,809.53