Finding the Third Proportional to 4,152.94 and 5,405.91

Step by Step Solution

1. Step 1: Write the proportion equation
   4,152.94 : 5,405.91 = 5,405.91 : x
2. Step 2: Convert to fraction form
   4,152.94/5,405.91 = 5,405.91/x
3. Step 3: Cross multiply
   4,152.94x = 5,405.91 × 5,405.91
4. Step 4: Simplify right side
   4,152.94x = 29,223,822.38
5. Step 5: Solve for x
   x = 29,223,822.38/4,152.94
6. Step 6: Final answer
   x = 7,036.90