Finding the Third Proportional to 3,761.63 and 5,851.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,761.63 : 5,851.88 = 5,851.88 : x
2. Step 2: Convert to fraction form
   3,761.63/5,851.88 = 5,851.88/x
3. Step 3: Cross multiply
   3,761.63x = 5,851.88 × 5,851.88
4. Step 4: Simplify right side
   3,761.63x = 34,244,441.02
5. Step 5: Solve for x
   x = 34,244,441.02/3,761.63
6. Step 6: Final answer
   x = 9,103.63