Finding the Third Proportional to 14,538 and 21,916.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,538 : 21,916.50 = 21,916.50 : x
2. Step 2: Convert to fraction form
   14,538/21,916.50 = 21,916.50/x
3. Step 3: Cross multiply
   14,538x = 21,916.50 × 21,916.50
4. Step 4: Simplify right side
   14,538x = 480,332,972.25
5. Step 5: Solve for x
   x = 480,332,972.25/14,538
6. Step 6: Final answer
   x = 33,039.82