Finding the Third Proportional to 6,475.69 and 13,412.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,475.69 : 13,412.06 = 13,412.06 : x
2. Step 2: Convert to fraction form
   6,475.69/13,412.06 = 13,412.06/x
3. Step 3: Cross multiply
   6,475.69x = 13,412.06 × 13,412.06
4. Step 4: Simplify right side
   6,475.69x = 179,883,420.50
5. Step 5: Solve for x
   x = 179,883,420.50/6,475.69
6. Step 6: Final answer
   x = 27,778.27