Finding the Third Proportional to 27,126 and 65,336

Step by Step Solution

1. Step 1: Write the proportion equation
   27,126 : 65,336 = 65,336 : x
2. Step 2: Convert to fraction form
   27,126/65,336 = 65,336/x
3. Step 3: Cross multiply
   27,126x = 65,336 × 65,336
4. Step 4: Simplify right side
   27,126x = 4,268,792,896
5. Step 5: Solve for x
   x = 4,268,792,896/27,126
6. Step 6: Final answer
   x = 157,369.05