Finding the Third Proportional to 6,569.25 and 14,061.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,569.25 : 14,061.75 = 14,061.75 : x
2. Step 2: Convert to fraction form
   6,569.25/14,061.75 = 14,061.75/x
3. Step 3: Cross multiply
   6,569.25x = 14,061.75 × 14,061.75
4. Step 4: Simplify right side
   6,569.25x = 197,732,813.06
5. Step 5: Solve for x
   x = 197,732,813.06/6,569.25
6. Step 6: Final answer
   x = 30,099.75