Finding the Third Proportional to 6,611 and 10,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,611 : 10,629.50 = 10,629.50 : x
2. Step 2: Convert to fraction form
   6,611/10,629.50 = 10,629.50/x
3. Step 3: Cross multiply
   6,611x = 10,629.50 × 10,629.50
4. Step 4: Simplify right side
   6,611x = 112,986,270.25
5. Step 5: Solve for x
   x = 112,986,270.25/6,611
6. Step 6: Final answer
   x = 17,090.65