Finding the Third Proportional to 65,016 and 103,164

Step by Step Solution

1. Step 1: Write the proportion equation
   65,016 : 103,164 = 103,164 : x
2. Step 2: Convert to fraction form
   65,016/103,164 = 103,164/x
3. Step 3: Cross multiply
   65,016x = 103,164 × 103,164
4. Step 4: Simplify right side
   65,016x = 10,642,810,896
5. Step 5: Solve for x
   x = 10,642,810,896/65,016
6. Step 6: Final answer
   x = 163,695.26