Finding the Third Proportional to 7,662 and 10,209

Step by Step Solution

1. Step 1: Write the proportion equation
   7,662 : 10,209 = 10,209 : x
2. Step 2: Convert to fraction form
   7,662/10,209 = 10,209/x
3. Step 3: Cross multiply
   7,662x = 10,209 × 10,209
4. Step 4: Simplify right side
   7,662x = 104,223,681
5. Step 5: Solve for x
   x = 104,223,681/7,662
6. Step 6: Final answer
   x = 13,602.67