Finding the Third Proportional to 9,645 and 12,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645 : 12,823.50 = 12,823.50 : x
2. Step 2: Convert to fraction form
   9,645/12,823.50 = 12,823.50/x
3. Step 3: Cross multiply
   9,645x = 12,823.50 × 12,823.50
4. Step 4: Simplify right side
   9,645x = 164,442,152.25
5. Step 5: Solve for x
   x = 164,442,152.25/9,645
6. Step 6: Final answer
   x = 17,049.47