Finding the Third Proportional to 34,258 and 53,016

Step by Step Solution

1. Step 1: Write the proportion equation
   34,258 : 53,016 = 53,016 : x
2. Step 2: Convert to fraction form
   34,258/53,016 = 53,016/x
3. Step 3: Cross multiply
   34,258x = 53,016 × 53,016
4. Step 4: Simplify right side
   34,258x = 2,810,696,256
5. Step 5: Solve for x
   x = 2,810,696,256/34,258
6. Step 6: Final answer
   x = 82,044.96