Finding the Third Proportional to 19,927.69 and 31,102.31

Step by Step Solution

1. Step 1: Write the proportion equation
   19,927.69 : 31,102.31 = 31,102.31 : x
2. Step 2: Convert to fraction form
   19,927.69/31,102.31 = 31,102.31/x
3. Step 3: Cross multiply
   19,927.69x = 31,102.31 × 31,102.31
4. Step 4: Simplify right side
   19,927.69x = 967,353,842.85
5. Step 5: Solve for x
   x = 967,353,842.85/19,927.69
6. Step 6: Final answer
   x = 48,543.21