Finding the Third Proportional to 14,616 and 22,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,616 : 22,153.50 = 22,153.50 : x
2. Step 2: Convert to fraction form
   14,616/22,153.50 = 22,153.50/x
3. Step 3: Cross multiply
   14,616x = 22,153.50 × 22,153.50
4. Step 4: Simplify right side
   14,616x = 490,777,562.25
5. Step 5: Solve for x
   x = 490,777,562.25/14,616
6. Step 6: Final answer
   x = 33,578.10