Finding the Third Proportional to 8,374.50 and 19,662.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,374.50 : 19,662.75 = 19,662.75 : x
2. Step 2: Convert to fraction form
   8,374.50/19,662.75 = 19,662.75/x
3. Step 3: Cross multiply
   8,374.50x = 19,662.75 × 19,662.75
4. Step 4: Simplify right side
   8,374.50x = 386,623,737.56
5. Step 5: Solve for x
   x = 386,623,737.56/8,374.50
6. Step 6: Final answer
   x = 46,166.78