Finding the Third Proportional to 27,678 and 41,551.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,678 : 41,551.50 = 41,551.50 : x
2. Step 2: Convert to fraction form
   27,678/41,551.50 = 41,551.50/x
3. Step 3: Cross multiply
   27,678x = 41,551.50 × 41,551.50
4. Step 4: Simplify right side
   27,678x = 1,726,527,152.25
5. Step 5: Solve for x
   x = 1,726,527,152.25/27,678
6. Step 6: Final answer
   x = 62,379.04