Finding the Third Proportional to 4,154.25 and 5,925.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,154.25 : 5,925.38 = 5,925.38 : x
2. Step 2: Convert to fraction form
   4,154.25/5,925.38 = 5,925.38/x
3. Step 3: Cross multiply
   4,154.25x = 5,925.38 × 5,925.38
4. Step 4: Simplify right side
   4,154.25x = 35,110,068.89
5. Step 5: Solve for x
   x = 35,110,068.89/4,154.25
6. Step 6: Final answer
   x = 8,451.60