Finding the Third Proportional to 6,538.50 and 10,050.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,538.50 : 10,050.75 = 10,050.75 : x
2. Step 2: Convert to fraction form
   6,538.50/10,050.75 = 10,050.75/x
3. Step 3: Cross multiply
   6,538.50x = 10,050.75 × 10,050.75
4. Step 4: Simplify right side
   6,538.50x = 101,017,575.56
5. Step 5: Solve for x
   x = 101,017,575.56/6,538.50
6. Step 6: Final answer
   x = 15,449.66