Finding the Third Proportional to 42,714 and 65,123

Step by Step Solution

1. Step 1: Write the proportion equation
   42,714 : 65,123 = 65,123 : x
2. Step 2: Convert to fraction form
   42,714/65,123 = 65,123/x
3. Step 3: Cross multiply
   42,714x = 65,123 × 65,123
4. Step 4: Simplify right side
   42,714x = 4,241,005,129
5. Step 5: Solve for x
   x = 4,241,005,129/42,714
6. Step 6: Final answer
   x = 99,288.41