Finding the Third Proportional to 9,814.50 and 16,089.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.50 : 16,089.75 = 16,089.75 : x
2. Step 2: Convert to fraction form
   9,814.50/16,089.75 = 16,089.75/x
3. Step 3: Cross multiply
   9,814.50x = 16,089.75 × 16,089.75
4. Step 4: Simplify right side
   9,814.50x = 258,880,055.06
5. Step 5: Solve for x
   x = 258,880,055.06/9,814.50
6. Step 6: Final answer
   x = 26,377.30