Finding the Third Proportional to 9,837 and 12,343.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,837 : 12,343.50 = 12,343.50 : x
2. Step 2: Convert to fraction form
   9,837/12,343.50 = 12,343.50/x
3. Step 3: Cross multiply
   9,837x = 12,343.50 × 12,343.50
4. Step 4: Simplify right side
   9,837x = 152,361,992.25
5. Step 5: Solve for x
   x = 152,361,992.25/9,837
6. Step 6: Final answer
   x = 15,488.66