Finding the Third Proportional to 8,301 and 12,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,301 : 12,424.50 = 12,424.50 : x
2. Step 2: Convert to fraction form
   8,301/12,424.50 = 12,424.50/x
3. Step 3: Cross multiply
   8,301x = 12,424.50 × 12,424.50
4. Step 4: Simplify right side
   8,301x = 154,368,200.25
5. Step 5: Solve for x
   x = 154,368,200.25/8,301
6. Step 6: Final answer
   x = 18,596.34