Finding the Third Proportional to 4,948.50 and 7,830

Step by Step Solution

1. Step 1: Write the proportion equation
   4,948.50 : 7,830 = 7,830 : x
2. Step 2: Convert to fraction form
   4,948.50/7,830 = 7,830/x
3. Step 3: Cross multiply
   4,948.50x = 7,830 × 7,830
4. Step 4: Simplify right side
   4,948.50x = 61,308,900
5. Step 5: Solve for x
   x = 61,308,900/4,948.50
6. Step 6: Final answer
   x = 12,389.39