Finding the Third Proportional to 19,582.50 and 31,530.38

Step by Step Solution

1. Step 1: Write the proportion equation
   19,582.50 : 31,530.38 = 31,530.38 : x
2. Step 2: Convert to fraction form
   19,582.50/31,530.38 = 31,530.38/x
3. Step 3: Cross multiply
   19,582.50x = 31,530.38 × 31,530.38
4. Step 4: Simplify right side
   19,582.50x = 994,164,547.64
5. Step 5: Solve for x
   x = 994,164,547.64/19,582.50
6. Step 6: Final answer
   x = 50,768.01