Finding the Third Proportional to 4,946.50 and 10,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,946.50 : 10,782.50 = 10,782.50 : x
2. Step 2: Convert to fraction form
   4,946.50/10,782.50 = 10,782.50/x
3. Step 3: Cross multiply
   4,946.50x = 10,782.50 × 10,782.50
4. Step 4: Simplify right side
   4,946.50x = 116,262,306.25
5. Step 5: Solve for x
   x = 116,262,306.25/4,946.50
6. Step 6: Final answer
   x = 23,503.95