Finding the Third Proportional to 6,503 and 10,060

Step by Step Solution

1. Step 1: Write the proportion equation
   6,503 : 10,060 = 10,060 : x
2. Step 2: Convert to fraction form
   6,503/10,060 = 10,060/x
3. Step 3: Cross multiply
   6,503x = 10,060 × 10,060
4. Step 4: Simplify right side
   6,503x = 101,203,600
5. Step 5: Solve for x
   x = 101,203,600/6,503
6. Step 6: Final answer
   x = 15,562.60