Finding the Third Proportional to 6,524.63 and 10,505.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,524.63 : 10,505.25 = 10,505.25 : x
2. Step 2: Convert to fraction form
   6,524.63/10,505.25 = 10,505.25/x
3. Step 3: Cross multiply
   6,524.63x = 10,505.25 × 10,505.25
4. Step 4: Simplify right side
   6,524.63x = 110,360,277.56
5. Step 5: Solve for x
   x = 110,360,277.56/6,524.63
6. Step 6: Final answer
   x = 16,914.42