Finding the Third Proportional to 34,003 and 73,655

Step by Step Solution

1. Step 1: Write the proportion equation
   34,003 : 73,655 = 73,655 : x
2. Step 2: Convert to fraction form
   34,003/73,655 = 73,655/x
3. Step 3: Cross multiply
   34,003x = 73,655 × 73,655
4. Step 4: Simplify right side
   34,003x = 5,425,059,025
5. Step 5: Solve for x
   x = 5,425,059,025/34,003
6. Step 6: Final answer
   x = 159,546.48