Finding the Third Proportional to 14,204 and 21,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,204 : 21,601.50 = 21,601.50 : x
2. Step 2: Convert to fraction form
   14,204/21,601.50 = 21,601.50/x
3. Step 3: Cross multiply
   14,204x = 21,601.50 × 21,601.50
4. Step 4: Simplify right side
   14,204x = 466,624,802.25
5. Step 5: Solve for x
   x = 466,624,802.25/14,204
6. Step 6: Final answer
   x = 32,851.65