Finding the Third Proportional to 5,780.74 and 7,811.12

Step by Step Solution

1. Step 1: Write the proportion equation
   5,780.74 : 7,811.12 = 7,811.12 : x
2. Step 2: Convert to fraction form
   5,780.74/7,811.12 = 7,811.12/x
3. Step 3: Cross multiply
   5,780.74x = 7,811.12 × 7,811.12
4. Step 4: Simplify right side
   5,780.74x = 61,013,612.74
5. Step 5: Solve for x
   x = 61,013,612.74/5,780.74
6. Step 6: Final answer
   x = 10,554.63