Finding the Third Proportional to 13,646 and 20,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,646 : 20,384.50 = 20,384.50 : x
2. Step 2: Convert to fraction form
   13,646/20,384.50 = 20,384.50/x
3. Step 3: Cross multiply
   13,646x = 20,384.50 × 20,384.50
4. Step 4: Simplify right side
   13,646x = 415,527,840.25
5. Step 5: Solve for x
   x = 415,527,840.25/13,646
6. Step 6: Final answer
   x = 30,450.52