Finding the Third Proportional to 6,511.50 and 10,076.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,511.50 : 10,076.63 = 10,076.63 : x
2. Step 2: Convert to fraction form
   6,511.50/10,076.63 = 10,076.63/x
3. Step 3: Cross multiply
   6,511.50x = 10,076.63 × 10,076.63
4. Step 4: Simplify right side
   6,511.50x = 101,538,371.39
5. Step 5: Solve for x
   x = 101,538,371.39/6,511.50
6. Step 6: Final answer
   x = 15,593.70