Finding the Third Proportional to 40,714 and 58,114

Step by Step Solution

1. Step 1: Write the proportion equation
   40,714 : 58,114 = 58,114 : x
2. Step 2: Convert to fraction form
   40,714/58,114 = 58,114/x
3. Step 3: Cross multiply
   40,714x = 58,114 × 58,114
4. Step 4: Simplify right side
   40,714x = 3,377,236,996
5. Step 5: Solve for x
   x = 3,377,236,996/40,714
6. Step 6: Final answer
   x = 82,950.26