Finding the Third Proportional to 7,684.88 and 12,219.61

Step by Step Solution

1. Step 1: Write the proportion equation
   7,684.88 : 12,219.61 = 12,219.61 : x
2. Step 2: Convert to fraction form
   7,684.88/12,219.61 = 12,219.61/x
3. Step 3: Cross multiply
   7,684.88x = 12,219.61 × 12,219.61
4. Step 4: Simplify right side
   7,684.88x = 149,318,853.28
5. Step 5: Solve for x
   x = 149,318,853.28/7,684.88
6. Step 6: Final answer
   x = 19,430.23