Finding the Third Proportional to 31,377 and 65,304

Step by Step Solution

1. Step 1: Write the proportion equation
   31,377 : 65,304 = 65,304 : x
2. Step 2: Convert to fraction form
   31,377/65,304 = 65,304/x
3. Step 3: Cross multiply
   31,377x = 65,304 × 65,304
4. Step 4: Simplify right side
   31,377x = 4,264,612,416
5. Step 5: Solve for x
   x = 4,264,612,416/31,377
6. Step 6: Final answer
   x = 135,915.24