Finding the Third Proportional to 9,649.50 and 12,906

Step by Step Solution

1. Step 1: Write the proportion equation
   9,649.50 : 12,906 = 12,906 : x
2. Step 2: Convert to fraction form
   9,649.50/12,906 = 12,906/x
3. Step 3: Cross multiply
   9,649.50x = 12,906 × 12,906
4. Step 4: Simplify right side
   9,649.50x = 166,564,836
5. Step 5: Solve for x
   x = 166,564,836/9,649.50
6. Step 6: Final answer
   x = 17,261.50