Finding the Third Proportional to 30,896 and 72,010

Step by Step Solution

1. Step 1: Write the proportion equation
   30,896 : 72,010 = 72,010 : x
2. Step 2: Convert to fraction form
   30,896/72,010 = 72,010/x
3. Step 3: Cross multiply
   30,896x = 72,010 × 72,010
4. Step 4: Simplify right side
   30,896x = 5,185,440,100
5. Step 5: Solve for x
   x = 5,185,440,100/30,896
6. Step 6: Final answer
   x = 167,835.32