Finding the Third Proportional to 14,784 and 22,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,784 : 22,329.50 = 22,329.50 : x
2. Step 2: Convert to fraction form
   14,784/22,329.50 = 22,329.50/x
3. Step 3: Cross multiply
   14,784x = 22,329.50 × 22,329.50
4. Step 4: Simplify right side
   14,784x = 498,606,570.25
5. Step 5: Solve for x
   x = 498,606,570.25/14,784
6. Step 6: Final answer
   x = 33,726.09