Finding the Third Proportional to 23,457 and 33,519

Step by Step Solution

1. Step 1: Write the proportion equation
   23,457 : 33,519 = 33,519 : x
2. Step 2: Convert to fraction form
   23,457/33,519 = 33,519/x
3. Step 3: Cross multiply
   23,457x = 33,519 × 33,519
4. Step 4: Simplify right side
   23,457x = 1,123,523,361
5. Step 5: Solve for x
   x = 1,123,523,361/23,457
6. Step 6: Final answer
   x = 47,897.15