Finding the Third Proportional to 14,584.50 and 22,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,584.50 : 22,009.50 = 22,009.50 : x
2. Step 2: Convert to fraction form
   14,584.50/22,009.50 = 22,009.50/x
3. Step 3: Cross multiply
   14,584.50x = 22,009.50 × 22,009.50
4. Step 4: Simplify right side
   14,584.50x = 484,418,090.25
5. Step 5: Solve for x
   x = 484,418,090.25/14,584.50
6. Step 6: Final answer
   x = 33,214.58