Finding the Third Proportional to 31,185 and 45,819

Step by Step Solution

1. Step 1: Write the proportion equation
   31,185 : 45,819 = 45,819 : x
2. Step 2: Convert to fraction form
   31,185/45,819 = 45,819/x
3. Step 3: Cross multiply
   31,185x = 45,819 × 45,819
4. Step 4: Simplify right side
   31,185x = 2,099,380,761
5. Step 5: Solve for x
   x = 2,099,380,761/31,185
6. Step 6: Final answer
   x = 67,320.21