Finding the Third Proportional to 10,748.50 and 16,609

Step by Step Solution

1. Step 1: Write the proportion equation
   10,748.50 : 16,609 = 16,609 : x
2. Step 2: Convert to fraction form
   10,748.50/16,609 = 16,609/x
3. Step 3: Cross multiply
   10,748.50x = 16,609 × 16,609
4. Step 4: Simplify right side
   10,748.50x = 275,858,881
5. Step 5: Solve for x
   x = 275,858,881/10,748.50
6. Step 6: Final answer
   x = 25,664.87