Finding the Third Proportional to 3,754.31 and 5,461.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,754.31 : 5,461.69 = 5,461.69 : x
2. Step 2: Convert to fraction form
   3,754.31/5,461.69 = 5,461.69/x
3. Step 3: Cross multiply
   3,754.31x = 5,461.69 × 5,461.69
4. Step 4: Simplify right side
   3,754.31x = 29,830,030.35
5. Step 5: Solve for x
   x = 29,830,030.35/3,754.31
6. Step 6: Final answer
   x = 7,945.54