Finding the Third Proportional to 27,117 and 65,304

Step by Step Solution

1. Step 1: Write the proportion equation
   27,117 : 65,304 = 65,304 : x
2. Step 2: Convert to fraction form
   27,117/65,304 = 65,304/x
3. Step 3: Cross multiply
   27,117x = 65,304 × 65,304
4. Step 4: Simplify right side
   27,117x = 4,264,612,416
5. Step 5: Solve for x
   x = 4,264,612,416/27,117
6. Step 6: Final answer
   x = 157,267.12