Finding the Third Proportional to 3,754.13 and 5,407.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,754.13 : 5,407.69 = 5,407.69 : x
2. Step 2: Convert to fraction form
   3,754.13/5,407.69 = 5,407.69/x
3. Step 3: Cross multiply
   3,754.13x = 5,407.69 × 5,407.69
4. Step 4: Simplify right side
   3,754.13x = 29,243,084.10
5. Step 5: Solve for x
   x = 29,243,084.10/3,754.13
6. Step 6: Final answer
   x = 7,789.59