Finding the Third Proportional to 23,033 and 33,294

Step by Step Solution

1. Step 1: Write the proportion equation
   23,033 : 33,294 = 33,294 : x
2. Step 2: Convert to fraction form
   23,033/33,294 = 33,294/x
3. Step 3: Cross multiply
   23,033x = 33,294 × 33,294
4. Step 4: Simplify right side
   23,033x = 1,108,490,436
5. Step 5: Solve for x
   x = 1,108,490,436/23,033
6. Step 6: Final answer
   x = 48,126.19