Finding the Third Proportional to 10,930 and 23,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,930 : 23,806.50 = 23,806.50 : x
2. Step 2: Convert to fraction form
   10,930/23,806.50 = 23,806.50/x
3. Step 3: Cross multiply
   10,930x = 23,806.50 × 23,806.50
4. Step 4: Simplify right side
   10,930x = 566,749,442.25
5. Step 5: Solve for x
   x = 566,749,442.25/10,930
6. Step 6: Final answer
   x = 51,852.65