Finding the Third Proportional to 47,314 and 65,786

Step by Step Solution

1. Step 1: Write the proportion equation
   47,314 : 65,786 = 65,786 : x
2. Step 2: Convert to fraction form
   47,314/65,786 = 65,786/x
3. Step 3: Cross multiply
   47,314x = 65,786 × 65,786
4. Step 4: Simplify right side
   47,314x = 4,327,797,796
5. Step 5: Solve for x
   x = 4,327,797,796/47,314
6. Step 6: Final answer
   x = 91,469.71