Finding the Third Proportional to 27,160 and 65,736

Step by Step Solution

1. Step 1: Write the proportion equation
   27,160 : 65,736 = 65,736 : x
2. Step 2: Convert to fraction form
   27,160/65,736 = 65,736/x
3. Step 3: Cross multiply
   27,160x = 65,736 × 65,736
4. Step 4: Simplify right side
   27,160x = 4,321,221,696
5. Step 5: Solve for x
   x = 4,321,221,696/27,160
6. Step 6: Final answer
   x = 159,102.42