Finding the Third Proportional to 3,705.75 and 5,925.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,705.75 : 5,925.38 = 5,925.38 : x
2. Step 2: Convert to fraction form
   3,705.75/5,925.38 = 5,925.38/x
3. Step 3: Cross multiply
   3,705.75x = 5,925.38 × 5,925.38
4. Step 4: Simplify right side
   3,705.75x = 35,110,068.89
5. Step 5: Solve for x
   x = 35,110,068.89/3,705.75
6. Step 6: Final answer
   x = 9,474.48