Finding the Third Proportional to 34,073 and 72,205

Step by Step Solution

1. Step 1: Write the proportion equation
   34,073 : 72,205 = 72,205 : x
2. Step 2: Convert to fraction form
   34,073/72,205 = 72,205/x
3. Step 3: Cross multiply
   34,073x = 72,205 × 72,205
4. Step 4: Simplify right side
   34,073x = 5,213,562,025
5. Step 5: Solve for x
   x = 5,213,562,025/34,073
6. Step 6: Final answer
   x = 153,011.53