Finding the Third Proportional to 33,471 and 73,410.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,471 : 73,410.75 = 73,410.75 : x
2. Step 2: Convert to fraction form
   33,471/73,410.75 = 73,410.75/x
3. Step 3: Cross multiply
   33,471x = 73,410.75 × 73,410.75
4. Step 4: Simplify right side
   33,471x = 5,389,138,215.56
5. Step 5: Solve for x
   x = 5,389,138,215.56/33,471
6. Step 6: Final answer
   x = 161,009.18