Finding the Third Proportional to 7,089 and 16,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,089 : 16,557.50 = 16,557.50 : x
2. Step 2: Convert to fraction form
   7,089/16,557.50 = 16,557.50/x
3. Step 3: Cross multiply
   7,089x = 16,557.50 × 16,557.50
4. Step 4: Simplify right side
   7,089x = 274,150,806.25
5. Step 5: Solve for x
   x = 274,150,806.25/7,089
6. Step 6: Final answer
   x = 38,672.71