Finding the Third Proportional to 3,748 and 5,882

Step by Step Solution

1. Step 1: Write the proportion equation
   3,748 : 5,882 = 5,882 : x
2. Step 2: Convert to fraction form
   3,748/5,882 = 5,882/x
3. Step 3: Cross multiply
   3,748x = 5,882 × 5,882
4. Step 4: Simplify right side
   3,748x = 34,597,924
5. Step 5: Solve for x
   x = 34,597,924/3,748
6. Step 6: Final answer
   x = 9,231.04