Finding the Third Proportional to 23,724 and 33,380

Step by Step Solution

1. Step 1: Write the proportion equation
   23,724 : 33,380 = 33,380 : x
2. Step 2: Convert to fraction form
   23,724/33,380 = 33,380/x
3. Step 3: Cross multiply
   23,724x = 33,380 × 33,380
4. Step 4: Simplify right side
   23,724x = 1,114,224,400
5. Step 5: Solve for x
   x = 1,114,224,400/23,724
6. Step 6: Final answer
   x = 46,966.13