Finding the Third Proportional to 19,696.50 and 31,187.25

Step by Step Solution

1. Step 1: Write the proportion equation
   19,696.50 : 31,187.25 = 31,187.25 : x
2. Step 2: Convert to fraction form
   19,696.50/31,187.25 = 31,187.25/x
3. Step 3: Cross multiply
   19,696.50x = 31,187.25 × 31,187.25
4. Step 4: Simplify right side
   19,696.50x = 972,644,562.56
5. Step 5: Solve for x
   x = 972,644,562.56/19,696.50
6. Step 6: Final answer
   x = 49,381.59