Finding the Third Proportional to 6,102 and 10,577.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,102 : 10,577.25 = 10,577.25 : x
2. Step 2: Convert to fraction form
   6,102/10,577.25 = 10,577.25/x
3. Step 3: Cross multiply
   6,102x = 10,577.25 × 10,577.25
4. Step 4: Simplify right side
   6,102x = 111,878,217.56
5. Step 5: Solve for x
   x = 111,878,217.56/6,102
6. Step 6: Final answer
   x = 18,334.68