Finding the Third Proportional to 9,819 and 13,234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,819 : 13,234.50 = 13,234.50 : x
2. Step 2: Convert to fraction form
   9,819/13,234.50 = 13,234.50/x
3. Step 3: Cross multiply
   9,819x = 13,234.50 × 13,234.50
4. Step 4: Simplify right side
   9,819x = 175,151,990.25
5. Step 5: Solve for x
   x = 175,151,990.25/9,819
6. Step 6: Final answer
   x = 17,838.07