Finding the Third Proportional to 4,886.81 and 7,868.34

Step by Step Solution

1. Step 1: Write the proportion equation
   4,886.81 : 7,868.34 = 7,868.34 : x
2. Step 2: Convert to fraction form
   4,886.81/7,868.34 = 7,868.34/x
3. Step 3: Cross multiply
   4,886.81x = 7,868.34 × 7,868.34
4. Step 4: Simplify right side
   4,886.81x = 61,910,833.37
5. Step 5: Solve for x
   x = 61,910,833.37/4,886.81
6. Step 6: Final answer
   x = 12,668.96