Finding the Third Proportional to 6,478.31 and 13,412.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,478.31 : 13,412.25 = 13,412.25 : x
2. Step 2: Convert to fraction form
   6,478.31/13,412.25 = 13,412.25/x
3. Step 3: Cross multiply
   6,478.31x = 13,412.25 × 13,412.25
4. Step 4: Simplify right side
   6,478.31x = 179,888,450.06
5. Step 5: Solve for x
   x = 179,888,450.06/6,478.31
6. Step 6: Final answer
   x = 27,767.79