Finding the Third Proportional to 6,535.69 and 13,997.81

Step by Step Solution

1. Step 1: Write the proportion equation
   6,535.69 : 13,997.81 = 13,997.81 : x
2. Step 2: Convert to fraction form
   6,535.69/13,997.81 = 13,997.81/x
3. Step 3: Cross multiply
   6,535.69x = 13,997.81 × 13,997.81
4. Step 4: Simplify right side
   6,535.69x = 195,938,754.79
5. Step 5: Solve for x
   x = 195,938,754.79/6,535.69
6. Step 6: Final answer
   x = 29,979.82