Finding the Third Proportional to 23,025 and 33,782

Step by Step Solution

1. Step 1: Write the proportion equation
   23,025 : 33,782 = 33,782 : x
2. Step 2: Convert to fraction form
   23,025/33,782 = 33,782/x
3. Step 3: Cross multiply
   23,025x = 33,782 × 33,782
4. Step 4: Simplify right side
   23,025x = 1,141,223,524
5. Step 5: Solve for x
   x = 1,141,223,524/23,025
6. Step 6: Final answer
   x = 49,564.54