Finding the Third Proportional to 1,636.45 and 3,534.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,636.45 : 3,534.47 = 3,534.47 : x
2. Step 2: Convert to fraction form
   1,636.45/3,534.47 = 3,534.47/x
3. Step 3: Cross multiply
   1,636.45x = 3,534.47 × 3,534.47
4. Step 4: Simplify right side
   1,636.45x = 12,492,469.34
5. Step 5: Solve for x
   x = 12,492,469.34/1,636.45
6. Step 6: Final answer
   x = 7,633.87