Finding the Third Proportional to 4,886 and 10,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,886 : 10,697.50 = 10,697.50 : x
2. Step 2: Convert to fraction form
   4,886/10,697.50 = 10,697.50/x
3. Step 3: Cross multiply
   4,886x = 10,697.50 × 10,697.50
4. Step 4: Simplify right side
   4,886x = 114,436,506.25
5. Step 5: Solve for x
   x = 114,436,506.25/4,886
6. Step 6: Final answer
   x = 23,421.31