Finding the Third Proportional to 1,636.45 and 3,557.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,636.45 : 3,557.67 = 3,557.67 : x
2. Step 2: Convert to fraction form
   1,636.45/3,557.67 = 3,557.67/x
3. Step 3: Cross multiply
   1,636.45x = 3,557.67 × 3,557.67
4. Step 4: Simplify right side
   1,636.45x = 12,657,029.17
5. Step 5: Solve for x
   x = 12,657,029.17/1,636.45
6. Step 6: Final answer
   x = 7,734.43