Finding the Third Proportional to 3,685.50 and 7,697.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.50 : 7,697.53 = 7,697.53 : x
2. Step 2: Convert to fraction form
   3,685.50/7,697.53 = 7,697.53/x
3. Step 3: Cross multiply
   3,685.50x = 7,697.53 × 7,697.53
4. Step 4: Simplify right side
   3,685.50x = 59,251,987.34
5. Step 5: Solve for x
   x = 59,251,987.34/3,685.50
6. Step 6: Final answer
   x = 16,077.06