Finding the Third Proportional to 4,939.50 and 10,766.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,939.50 : 10,766.63 = 10,766.63 : x
2. Step 2: Convert to fraction form
   4,939.50/10,766.63 = 10,766.63/x
3. Step 3: Cross multiply
   4,939.50x = 10,766.63 × 10,766.63
4. Step 4: Simplify right side
   4,939.50x = 115,920,213.89
5. Step 5: Solve for x
   x = 115,920,213.89/4,939.50
6. Step 6: Final answer
   x = 23,468.01