Finding the Third Proportional to 33,534 and 73,211.34

Step by Step Solution

1. Step 1: Write the proportion equation
   33,534 : 73,211.34 = 73,211.34 : x
2. Step 2: Convert to fraction form
   33,534/73,211.34 = 73,211.34/x
3. Step 3: Cross multiply
   33,534x = 73,211.34 × 73,211.34
4. Step 4: Simplify right side
   33,534x = 5,359,900,853.68
5. Step 5: Solve for x
   x = 5,359,900,853.68/33,534
6. Step 6: Final answer
   x = 159,834.82