Finding the Third Proportional to 30,814 and 71,896

Step by Step Solution

1. Step 1: Write the proportion equation
   30,814 : 71,896 = 71,896 : x
2. Step 2: Convert to fraction form
   30,814/71,896 = 71,896/x
3. Step 3: Cross multiply
   30,814x = 71,896 × 71,896
4. Step 4: Simplify right side
   30,814x = 5,169,034,816
5. Step 5: Solve for x
   x = 5,169,034,816/30,814
6. Step 6: Final answer
   x = 167,749.56