Finding the Third Proportional to 5,106.38 and 7,808.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,106.38 : 7,808.06 = 7,808.06 : x
2. Step 2: Convert to fraction form
   5,106.38/7,808.06 = 7,808.06/x
3. Step 3: Cross multiply
   5,106.38x = 7,808.06 × 7,808.06
4. Step 4: Simplify right side
   5,106.38x = 60,965,840.00
5. Step 5: Solve for x
   x = 60,965,840.00/5,106.38
6. Step 6: Final answer
   x = 11,939.16