Finding the Third Proportional to 30,710 and 65,111

Step by Step Solution

1. Step 1: Write the proportion equation
   30,710 : 65,111 = 65,111 : x
2. Step 2: Convert to fraction form
   30,710/65,111 = 65,111/x
3. Step 3: Cross multiply
   30,710x = 65,111 × 65,111
4. Step 4: Simplify right side
   30,710x = 4,239,442,321
5. Step 5: Solve for x
   x = 4,239,442,321/30,710
6. Step 6: Final answer
   x = 138,047.62