Finding the Third Proportional to 1,709.72 and 3,740.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,709.72 : 3,740.91 = 3,740.91 : x
2. Step 2: Convert to fraction form
   1,709.72/3,740.91 = 3,740.91/x
3. Step 3: Cross multiply
   1,709.72x = 3,740.91 × 3,740.91
4. Step 4: Simplify right side
   1,709.72x = 13,994,379.57
5. Step 5: Solve for x
   x = 13,994,379.57/1,709.72
6. Step 6: Final answer
   x = 8,185.19