Finding the Third Proportional to 31,930 and 50,534

Step by Step Solution

1. Step 1: Write the proportion equation
   31,930 : 50,534 = 50,534 : x
2. Step 2: Convert to fraction form
   31,930/50,534 = 50,534/x
3. Step 3: Cross multiply
   31,930x = 50,534 × 50,534
4. Step 4: Simplify right side
   31,930x = 2,553,685,156
5. Step 5: Solve for x
   x = 2,553,685,156/31,930
6. Step 6: Final answer
   x = 79,977.61