Finding the Third Proportional to 6,521 and 10,102

Step by Step Solution

1. Step 1: Write the proportion equation
   6,521 : 10,102 = 10,102 : x
2. Step 2: Convert to fraction form
   6,521/10,102 = 10,102/x
3. Step 3: Cross multiply
   6,521x = 10,102 × 10,102
4. Step 4: Simplify right side
   6,521x = 102,050,404
5. Step 5: Solve for x
   x = 102,050,404/6,521
6. Step 6: Final answer
   x = 15,649.50