Finding the Third Proportional to 31,278 and 65,136

Step by Step Solution

1. Step 1: Write the proportion equation
   31,278 : 65,136 = 65,136 : x
2. Step 2: Convert to fraction form
   31,278/65,136 = 65,136/x
3. Step 3: Cross multiply
   31,278x = 65,136 × 65,136
4. Step 4: Simplify right side
   31,278x = 4,242,698,496
5. Step 5: Solve for x
   x = 4,242,698,496/31,278
6. Step 6: Final answer
   x = 135,644.81