Finding the Third Proportional to 9,541 and 12,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,541 : 12,664.50 = 12,664.50 : x
2. Step 2: Convert to fraction form
   9,541/12,664.50 = 12,664.50/x
3. Step 3: Cross multiply
   9,541x = 12,664.50 × 12,664.50
4. Step 4: Simplify right side
   9,541x = 160,389,560.25
5. Step 5: Solve for x
   x = 160,389,560.25/9,541
6. Step 6: Final answer
   x = 16,810.56