Finding the Third Proportional to 3,012.82 and 6,526.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,012.82 : 6,526.83 = 6,526.83 : x
2. Step 2: Convert to fraction form
   3,012.82/6,526.83 = 6,526.83/x
3. Step 3: Cross multiply
   3,012.82x = 6,526.83 × 6,526.83
4. Step 4: Simplify right side
   3,012.82x = 42,599,485.37
5. Step 5: Solve for x
   x = 42,599,485.37/3,012.82
6. Step 6: Final answer
   x = 14,139.40