Finding the Third Proportional to 31,810 and 50,359

Step by Step Solution

1. Step 1: Write the proportion equation
   31,810 : 50,359 = 50,359 : x
2. Step 2: Convert to fraction form
   31,810/50,359 = 50,359/x
3. Step 3: Cross multiply
   31,810x = 50,359 × 50,359
4. Step 4: Simplify right side
   31,810x = 2,536,028,881
5. Step 5: Solve for x
   x = 2,536,028,881/31,810
6. Step 6: Final answer
   x = 79,724.27