Finding the Third Proportional to 7,644 and 12,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,644 : 12,100.50 = 12,100.50 : x
2. Step 2: Convert to fraction form
   7,644/12,100.50 = 12,100.50/x
3. Step 3: Cross multiply
   7,644x = 12,100.50 × 12,100.50
4. Step 4: Simplify right side
   7,644x = 146,422,100.25
5. Step 5: Solve for x
   x = 146,422,100.25/7,644
6. Step 6: Final answer
   x = 19,155.17