Finding the Third Proportional to 23,094 and 33,633

Step by Step Solution

1. Step 1: Write the proportion equation
   23,094 : 33,633 = 33,633 : x
2. Step 2: Convert to fraction form
   23,094/33,633 = 33,633/x
3. Step 3: Cross multiply
   23,094x = 33,633 × 33,633
4. Step 4: Simplify right side
   23,094x = 1,131,178,689
5. Step 5: Solve for x
   x = 1,131,178,689/23,094
6. Step 6: Final answer
   x = 48,981.50