Finding the Third Proportional to 23,528 and 35,286

Step by Step Solution

1. Step 1: Write the proportion equation
   23,528 : 35,286 = 35,286 : x
2. Step 2: Convert to fraction form
   23,528/35,286 = 35,286/x
3. Step 3: Cross multiply
   23,528x = 35,286 × 35,286
4. Step 4: Simplify right side
   23,528x = 1,245,101,796
5. Step 5: Solve for x
   x = 1,245,101,796/23,528
6. Step 6: Final answer
   x = 52,920.00