Finding the Third Proportional to 23,300 and 33,588

Step by Step Solution

1. Step 1: Write the proportion equation
   23,300 : 33,588 = 33,588 : x
2. Step 2: Convert to fraction form
   23,300/33,588 = 33,588/x
3. Step 3: Cross multiply
   23,300x = 33,588 × 33,588
4. Step 4: Simplify right side
   23,300x = 1,128,153,744
5. Step 5: Solve for x
   x = 1,128,153,744/23,300
6. Step 6: Final answer
   x = 48,418.62