Finding the Third Proportional to 10,089 and 14,341.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,089 : 14,341.50 = 14,341.50 : x
2. Step 2: Convert to fraction form
   10,089/14,341.50 = 14,341.50/x
3. Step 3: Cross multiply
   10,089x = 14,341.50 × 14,341.50
4. Step 4: Simplify right side
   10,089x = 205,678,622.25
5. Step 5: Solve for x
   x = 205,678,622.25/10,089
6. Step 6: Final answer
   x = 20,386.42