Finding the Third Proportional to 9,178.31 and 13,788.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178.31 : 13,788.56 = 13,788.56 : x
2. Step 2: Convert to fraction form
   9,178.31/13,788.56 = 13,788.56/x
3. Step 3: Cross multiply
   9,178.31x = 13,788.56 × 13,788.56
4. Step 4: Simplify right side
   9,178.31x = 190,124,455.82
5. Step 5: Solve for x
   x = 190,124,455.82/9,178.31
6. Step 6: Final answer
   x = 20,714.53