Finding the Third Proportional to 43,714 and 65,789

Step by Step Solution

1. Step 1: Write the proportion equation
   43,714 : 65,789 = 65,789 : x
2. Step 2: Convert to fraction form
   43,714/65,789 = 65,789/x
3. Step 3: Cross multiply
   43,714x = 65,789 × 65,789
4. Step 4: Simplify right side
   43,714x = 4,328,192,521
5. Step 5: Solve for x
   x = 4,328,192,521/43,714
6. Step 6: Final answer
   x = 99,011.59