Finding the Third Proportional to 31,814 and 43,185

Step by Step Solution

1. Step 1: Write the proportion equation
   31,814 : 43,185 = 43,185 : x
2. Step 2: Convert to fraction form
   31,814/43,185 = 43,185/x
3. Step 3: Cross multiply
   31,814x = 43,185 × 43,185
4. Step 4: Simplify right side
   31,814x = 1,864,944,225
5. Step 5: Solve for x
   x = 1,864,944,225/31,814
6. Step 6: Final answer
   x = 58,620.24