Finding the Third Proportional to 6,506 and 10,069

Step by Step Solution

1. Step 1: Write the proportion equation
   6,506 : 10,069 = 10,069 : x
2. Step 2: Convert to fraction form
   6,506/10,069 = 10,069/x
3. Step 3: Cross multiply
   6,506x = 10,069 × 10,069
4. Step 4: Simplify right side
   6,506x = 101,384,761
5. Step 5: Solve for x
   x = 101,384,761/6,506
6. Step 6: Final answer
   x = 15,583.27