Finding the Third Proportional to 5,429.25 and 8,123.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,429.25 : 8,123.63 = 8,123.63 : x
2. Step 2: Convert to fraction form
   5,429.25/8,123.63 = 8,123.63/x
3. Step 3: Cross multiply
   5,429.25x = 8,123.63 × 8,123.63
4. Step 4: Simplify right side
   5,429.25x = 65,993,283.14
5. Step 5: Solve for x
   x = 65,993,283.14/5,429.25
6. Step 6: Final answer
   x = 12,155.14