Finding the Third Proportional to 29,680 and 69,016

Step by Step Solution

1. Step 1: Write the proportion equation
   29,680 : 69,016 = 69,016 : x
2. Step 2: Convert to fraction form
   29,680/69,016 = 69,016/x
3. Step 3: Cross multiply
   29,680x = 69,016 × 69,016
4. Step 4: Simplify right side
   29,680x = 4,763,208,256
5. Step 5: Solve for x
   x = 4,763,208,256/29,680
6. Step 6: Final answer
   x = 160,485.45