Finding the Third Proportional to 34,538 and 71,533

Step by Step Solution

1. Step 1: Write the proportion equation
   34,538 : 71,533 = 71,533 : x
2. Step 2: Convert to fraction form
   34,538/71,533 = 71,533/x
3. Step 3: Cross multiply
   34,538x = 71,533 × 71,533
4. Step 4: Simplify right side
   34,538x = 5,116,970,089
5. Step 5: Solve for x
   x = 5,116,970,089/34,538
6. Step 6: Final answer
   x = 148,154.79