Finding the Third Proportional to 34,536 and 71,016

Step by Step Solution

1. Step 1: Write the proportion equation
   34,536 : 71,016 = 71,016 : x
2. Step 2: Convert to fraction form
   34,536/71,016 = 71,016/x
3. Step 3: Cross multiply
   34,536x = 71,016 × 71,016
4. Step 4: Simplify right side
   34,536x = 5,043,272,256
5. Step 5: Solve for x
   x = 5,043,272,256/34,536
6. Step 6: Final answer
   x = 146,029.43