Finding the Third Proportional to 13,842.14 and 20,775.87

Step by Step Solution

1. Step 1: Write the proportion equation
   13,842.14 : 20,775.87 = 20,775.87 : x
2. Step 2: Convert to fraction form
   13,842.14/20,775.87 = 20,775.87/x
3. Step 3: Cross multiply
   13,842.14x = 20,775.87 × 20,775.87
4. Step 4: Simplify right side
   13,842.14x = 431,636,657.39
5. Step 5: Solve for x
   x = 431,636,657.39/13,842.14
6. Step 6: Final answer
   x = 31,182.80