Finding the Third Proportional to 14,424 and 21,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,424 : 21,828.50 = 21,828.50 : x
2. Step 2: Convert to fraction form
   14,424/21,828.50 = 21,828.50/x
3. Step 3: Cross multiply
   14,424x = 21,828.50 × 21,828.50
4. Step 4: Simplify right side
   14,424x = 476,483,412.25
5. Step 5: Solve for x
   x = 476,483,412.25/14,424
6. Step 6: Final answer
   x = 33,034.07