Finding the Third Proportional to 31,026 and 65,556

Step by Step Solution

1. Step 1: Write the proportion equation
   31,026 : 65,556 = 65,556 : x
2. Step 2: Convert to fraction form
   31,026/65,556 = 65,556/x
3. Step 3: Cross multiply
   31,026x = 65,556 × 65,556
4. Step 4: Simplify right side
   31,026x = 4,297,589,136
5. Step 5: Solve for x
   x = 4,297,589,136/31,026
6. Step 6: Final answer
   x = 138,515.73