Finding the Third Proportional to 5,629.82 and 7,876.62

Step by Step Solution

1. Step 1: Write the proportion equation
   5,629.82 : 7,876.62 = 7,876.62 : x
2. Step 2: Convert to fraction form
   5,629.82/7,876.62 = 7,876.62/x
3. Step 3: Cross multiply
   5,629.82x = 7,876.62 × 7,876.62
4. Step 4: Simplify right side
   5,629.82x = 62,041,098.32
5. Step 5: Solve for x
   x = 62,041,098.32/5,629.82
6. Step 6: Final answer
   x = 11,020.09