Finding the Third Proportional to 20,035 and 31,145

Step by Step Solution

1. Step 1: Write the proportion equation
   20,035 : 31,145 = 31,145 : x
2. Step 2: Convert to fraction form
   20,035/31,145 = 31,145/x
3. Step 3: Cross multiply
   20,035x = 31,145 × 31,145
4. Step 4: Simplify right side
   20,035x = 970,011,025
5. Step 5: Solve for x
   x = 970,011,025/20,035
6. Step 6: Final answer
   x = 48,415.82