Finding the Third Proportional to 7,800.50 and 18,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,800.50 : 18,414.50 = 18,414.50 : x
2. Step 2: Convert to fraction form
   7,800.50/18,414.50 = 18,414.50/x
3. Step 3: Cross multiply
   7,800.50x = 18,414.50 × 18,414.50
4. Step 4: Simplify right side
   7,800.50x = 339,093,810.25
5. Step 5: Solve for x
   x = 339,093,810.25/7,800.50
6. Step 6: Final answer
   x = 43,470.78