Finding the Third Proportional to 19,693.13 and 31,320.38

Step by Step Solution

1. Step 1: Write the proportion equation
   19,693.13 : 31,320.38 = 31,320.38 : x
2. Step 2: Convert to fraction form
   19,693.13/31,320.38 = 31,320.38/x
3. Step 3: Cross multiply
   19,693.13x = 31,320.38 × 31,320.38
4. Step 4: Simplify right side
   19,693.13x = 980,965,890.14
5. Step 5: Solve for x
   x = 980,965,890.14/19,693.13
6. Step 6: Final answer
   x = 49,812.61