Finding the Third Proportional to 3,636.19 and 7,852.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,636.19 : 7,852.56 = 7,852.56 : x
2. Step 2: Convert to fraction form
   3,636.19/7,852.56 = 7,852.56/x
3. Step 3: Cross multiply
   3,636.19x = 7,852.56 × 7,852.56
4. Step 4: Simplify right side
   3,636.19x = 61,662,737.82
5. Step 5: Solve for x
   x = 61,662,737.82/3,636.19
6. Step 6: Final answer
   x = 16,958.07