Finding the Third Proportional to 11,205 and 16,483.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,205 : 16,483.50 = 16,483.50 : x
2. Step 2: Convert to fraction form
   11,205/16,483.50 = 16,483.50/x
3. Step 3: Cross multiply
   11,205x = 16,483.50 × 16,483.50
4. Step 4: Simplify right side
   11,205x = 271,705,772.25
5. Step 5: Solve for x
   x = 271,705,772.25/11,205
6. Step 6: Final answer
   x = 24,248.62