Finding the Third Proportional to 34,674 and 72,014

Step by Step Solution

1. Step 1: Write the proportion equation
   34,674 : 72,014 = 72,014 : x
2. Step 2: Convert to fraction form
   34,674/72,014 = 72,014/x
3. Step 3: Cross multiply
   34,674x = 72,014 × 72,014
4. Step 4: Simplify right side
   34,674x = 5,186,016,196
5. Step 5: Solve for x
   x = 5,186,016,196/34,674
6. Step 6: Final answer
   x = 149,564.98