Finding the Third Proportional to 15,832 and 23,870

Step by Step Solution

1. Step 1: Write the proportion equation
   15,832 : 23,870 = 23,870 : x
2. Step 2: Convert to fraction form
   15,832/23,870 = 23,870/x
3. Step 3: Cross multiply
   15,832x = 23,870 × 23,870
4. Step 4: Simplify right side
   15,832x = 569,776,900
5. Step 5: Solve for x
   x = 569,776,900/15,832
6. Step 6: Final answer
   x = 35,988.94