Finding the Third Proportional to 30,354 and 70,896

Step by Step Solution

1. Step 1: Write the proportion equation
   30,354 : 70,896 = 70,896 : x
2. Step 2: Convert to fraction form
   30,354/70,896 = 70,896/x
3. Step 3: Cross multiply
   30,354x = 70,896 × 70,896
4. Step 4: Simplify right side
   30,354x = 5,026,242,816
5. Step 5: Solve for x
   x = 5,026,242,816/30,354
6. Step 6: Final answer
   x = 165,587.49