Finding the Third Proportional to 34,071 and 72,201

Step by Step Solution

1. Step 1: Write the proportion equation
   34,071 : 72,201 = 72,201 : x
2. Step 2: Convert to fraction form
   34,071/72,201 = 72,201/x
3. Step 3: Cross multiply
   34,071x = 72,201 × 72,201
4. Step 4: Simplify right side
   34,071x = 5,212,984,401
5. Step 5: Solve for x
   x = 5,212,984,401/34,071
6. Step 6: Final answer
   x = 153,003.56