Finding the Third Proportional to 23,210 and 33,978

Step by Step Solution

1. Step 1: Write the proportion equation
   23,210 : 33,978 = 33,978 : x
2. Step 2: Convert to fraction form
   23,210/33,978 = 33,978/x
3. Step 3: Cross multiply
   23,210x = 33,978 × 33,978
4. Step 4: Simplify right side
   23,210x = 1,154,504,484
5. Step 5: Solve for x
   x = 1,154,504,484/23,210
6. Step 6: Final answer
   x = 49,741.68