Finding the Third Proportional to 3,727.69 and 8,499.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,727.69 : 8,499.94 = 8,499.94 : x
2. Step 2: Convert to fraction form
   3,727.69/8,499.94 = 8,499.94/x
3. Step 3: Cross multiply
   3,727.69x = 8,499.94 × 8,499.94
4. Step 4: Simplify right side
   3,727.69x = 72,248,937.50
5. Step 5: Solve for x
   x = 72,248,937.50/3,727.69
6. Step 6: Final answer
   x = 19,381.70