Finding the Third Proportional to 5,046.05 and 7,870.92

Step by Step Solution

1. Step 1: Write the proportion equation
   5,046.05 : 7,870.92 = 7,870.92 : x
2. Step 2: Convert to fraction form
   5,046.05/7,870.92 = 7,870.92/x
3. Step 3: Cross multiply
   5,046.05x = 7,870.92 × 7,870.92
4. Step 4: Simplify right side
   5,046.05x = 61,951,411.16
5. Step 5: Solve for x
   x = 61,951,411.16/5,046.05
6. Step 6: Final answer
   x = 12,277.22