Finding the Third Proportional to 33,541 and 71,076

Step by Step Solution

1. Step 1: Write the proportion equation
   33,541 : 71,076 = 71,076 : x
2. Step 2: Convert to fraction form
   33,541/71,076 = 71,076/x
3. Step 3: Cross multiply
   33,541x = 71,076 × 71,076
4. Step 4: Simplify right side
   33,541x = 5,051,797,776
5. Step 5: Solve for x
   x = 5,051,797,776/33,541
6. Step 6: Final answer
   x = 150,615.60