Finding the Third Proportional to 33,582 and 73,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,582 : 73,855.50 = 73,855.50 : x
2. Step 2: Convert to fraction form
   33,582/73,855.50 = 73,855.50/x
3. Step 3: Cross multiply
   33,582x = 73,855.50 × 73,855.50
4. Step 4: Simplify right side
   33,582x = 5,454,634,880.25
5. Step 5: Solve for x
   x = 5,454,634,880.25/33,582
6. Step 6: Final answer
   x = 162,427.34