Finding the Third Proportional to 9,677.25 and 13,056.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.25 : 13,056.75 = 13,056.75 : x
2. Step 2: Convert to fraction form
   9,677.25/13,056.75 = 13,056.75/x
3. Step 3: Cross multiply
   9,677.25x = 13,056.75 × 13,056.75
4. Step 4: Simplify right side
   9,677.25x = 170,478,720.56
5. Step 5: Solve for x
   x = 170,478,720.56/9,677.25
6. Step 6: Final answer
   x = 17,616.44