Finding the Third Proportional to 34,010 and 73,485

Step by Step Solution

1. Step 1: Write the proportion equation
   34,010 : 73,485 = 73,485 : x
2. Step 2: Convert to fraction form
   34,010/73,485 = 73,485/x
3. Step 3: Cross multiply
   34,010x = 73,485 × 73,485
4. Step 4: Simplify right side
   34,010x = 5,400,045,225
5. Step 5: Solve for x
   x = 5,400,045,225/34,010
6. Step 6: Final answer
   x = 158,778.16