Finding the Third Proportional to 2,264.63 and 3,709.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,264.63 : 3,709.69 = 3,709.69 : x
2. Step 2: Convert to fraction form
   2,264.63/3,709.69 = 3,709.69/x
3. Step 3: Cross multiply
   2,264.63x = 3,709.69 × 3,709.69
4. Step 4: Simplify right side
   2,264.63x = 13,761,781.35
5. Step 5: Solve for x
   x = 13,761,781.35/2,264.63
6. Step 6: Final answer
   x = 6,076.85