Finding the Third Proportional to 6,815.81 and 7,484.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,815.81 : 7,484.06 = 7,484.06 : x
2. Step 2: Convert to fraction form
   6,815.81/7,484.06 = 7,484.06/x
3. Step 3: Cross multiply
   6,815.81x = 7,484.06 × 7,484.06
4. Step 4: Simplify right side
   6,815.81x = 56,011,191.50
5. Step 5: Solve for x
   x = 56,011,191.50/6,815.81
6. Step 6: Final answer
   x = 8,217.83