Finding the Third Proportional to 27,783 and 41,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,783 : 41,677.50 = 41,677.50 : x
2. Step 2: Convert to fraction form
   27,783/41,677.50 = 41,677.50/x
3. Step 3: Cross multiply
   27,783x = 41,677.50 × 41,677.50
4. Step 4: Simplify right side
   27,783x = 1,737,014,006.25
5. Step 5: Solve for x
   x = 1,737,014,006.25/27,783
6. Step 6: Final answer
   x = 62,520.75