Finding the Third Proportional to 19,780.50 and 31,494

Step by Step Solution

1. Step 1: Write the proportion equation
   19,780.50 : 31,494 = 31,494 : x
2. Step 2: Convert to fraction form
   19,780.50/31,494 = 31,494/x
3. Step 3: Cross multiply
   19,780.50x = 31,494 × 31,494
4. Step 4: Simplify right side
   19,780.50x = 991,872,036
5. Step 5: Solve for x
   x = 991,872,036/19,780.50
6. Step 6: Final answer
   x = 50,143.93