Finding the Third Proportional to 33,102 and 73,559.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,102 : 73,559.75 = 73,559.75 : x
2. Step 2: Convert to fraction form
   33,102/73,559.75 = 73,559.75/x
3. Step 3: Cross multiply
   33,102x = 73,559.75 × 73,559.75
4. Step 4: Simplify right side
   33,102x = 5,411,036,820.06
5. Step 5: Solve for x
   x = 5,411,036,820.06/33,102
6. Step 6: Final answer
   x = 163,465.56