Finding the Third Proportional to 3,697.75 and 8,077.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.75 : 8,077.88 = 8,077.88 : x
2. Step 2: Convert to fraction form
   3,697.75/8,077.88 = 8,077.88/x
3. Step 3: Cross multiply
   3,697.75x = 8,077.88 × 8,077.88
4. Step 4: Simplify right side
   3,697.75x = 65,252,064.52
5. Step 5: Solve for x
   x = 65,252,064.52/3,697.75
6. Step 6: Final answer
   x = 17,646.42