Finding the Third Proportional to 9,657 and 10,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,657 : 10,669.50 = 10,669.50 : x
2. Step 2: Convert to fraction form
   9,657/10,669.50 = 10,669.50/x
3. Step 3: Cross multiply
   9,657x = 10,669.50 × 10,669.50
4. Step 4: Simplify right side
   9,657x = 113,838,230.25
5. Step 5: Solve for x
   x = 113,838,230.25/9,657
6. Step 6: Final answer
   x = 11,788.16