Finding the Third Proportional to 16,007.50 and 21,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,007.50 : 21,414.50 = 21,414.50 : x
2. Step 2: Convert to fraction form
   16,007.50/21,414.50 = 21,414.50/x
3. Step 3: Cross multiply
   16,007.50x = 21,414.50 × 21,414.50
4. Step 4: Simplify right side
   16,007.50x = 458,580,810.25
5. Step 5: Solve for x
   x = 458,580,810.25/16,007.50
6. Step 6: Final answer
   x = 28,647.87