Finding the Third Proportional to 3,677.27 and 8,037.98

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.27 : 8,037.98 = 8,037.98 : x
2. Step 2: Convert to fraction form
   3,677.27/8,037.98 = 8,037.98/x
3. Step 3: Cross multiply
   3,677.27x = 8,037.98 × 8,037.98
4. Step 4: Simplify right side
   3,677.27x = 64,609,192.81
5. Step 5: Solve for x
   x = 64,609,192.81/3,677.27
6. Step 6: Final answer
   x = 17,569.86