Finding the Third Proportional to 31,604 and 50,910

Step by Step Solution

1. Step 1: Write the proportion equation
   31,604 : 50,910 = 50,910 : x
2. Step 2: Convert to fraction form
   31,604/50,910 = 50,910/x
3. Step 3: Cross multiply
   31,604x = 50,910 × 50,910
4. Step 4: Simplify right side
   31,604x = 2,591,828,100
5. Step 5: Solve for x
   x = 2,591,828,100/31,604
6. Step 6: Final answer
   x = 82,009.50