Finding the Third Proportional to 7,845 and 12,181.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,845 : 12,181.50 = 12,181.50 : x
2. Step 2: Convert to fraction form
   7,845/12,181.50 = 12,181.50/x
3. Step 3: Cross multiply
   7,845x = 12,181.50 × 12,181.50
4. Step 4: Simplify right side
   7,845x = 148,388,942.25
5. Step 5: Solve for x
   x = 148,388,942.25/7,845
6. Step 6: Final answer
   x = 18,915.10