Finding the Third Proportional to 65,714 and 102,950

Step by Step Solution

1. Step 1: Write the proportion equation
   65,714 : 102,950 = 102,950 : x
2. Step 2: Convert to fraction form
   65,714/102,950 = 102,950/x
3. Step 3: Cross multiply
   65,714x = 102,950 × 102,950
4. Step 4: Simplify right side
   65,714x = 10,598,702,500
5. Step 5: Solve for x
   x = 10,598,702,500/65,714
6. Step 6: Final answer
   x = 161,285.30