Finding the Third Proportional to 33,540 and 70,536

Step by Step Solution

1. Step 1: Write the proportion equation
   33,540 : 70,536 = 70,536 : x
2. Step 2: Convert to fraction form
   33,540/70,536 = 70,536/x
3. Step 3: Cross multiply
   33,540x = 70,536 × 70,536
4. Step 4: Simplify right side
   33,540x = 4,975,327,296
5. Step 5: Solve for x
   x = 4,975,327,296/33,540
6. Step 6: Final answer
   x = 148,340.11