Finding the Third Proportional to 11,646 and 16,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,646 : 16,463.50 = 16,463.50 : x
2. Step 2: Convert to fraction form
   11,646/16,463.50 = 16,463.50/x
3. Step 3: Cross multiply
   11,646x = 16,463.50 × 16,463.50
4. Step 4: Simplify right side
   11,646x = 271,046,832.25
5. Step 5: Solve for x
   x = 271,046,832.25/11,646
6. Step 6: Final answer
   x = 23,273.81